4246374240 has 384 divisors, whose sum is σ = 15989944320. Its totient is φ = 1048633344.

The previous prime is 4246374233. The next prime is 4246374247. The reversal of 4246374240 is 424736424.

4246374240 is a `hidden beast` number, since 4 + 2 + 46 + 374 + 240 = 666.

4246374240 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4246374233) and next prime (4246374247).

It is a super-2 number, since 2×4246374240² = 36063388372271155200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4246374195 and 4246374204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4246374247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4920049 + ... + 4920911.

It is an arithmetic number, because the mean of its divisors is an integer number (41640480).

Almost surely, 2^4246374240 is an apocalyptic number.

4246374240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4246374240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7994972160).

4246374240 is an abundant number, since it is smaller than the sum of its proper divisors (11743570080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4246374240 is a wasteful number, since it uses less digits than its factorization.

4246374240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 36.

The square root of 4246374240 is about 65164.2098087593. The cubic root of 4246374240 is about 1619.3451399825.

The spelling of 4246374240 in words is "four billion, two hundred forty-six million, three hundred seventy-four thousand, two hundred forty".