4246986240 has 480 divisors, whose sum is σ = 17810020800. Its totient is φ = 913047552.

The previous prime is 4246986209. The next prime is 4246986241. The reversal of 4246986240 is 426896424.

4246986240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4246986241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2740986 + ... + 2742534.

It is an arithmetic number, because the mean of its divisors is an integer number (37104210).

Almost surely, 2^4246986240 is an apocalyptic number.

4246986240 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 4246986240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8905010400).

4246986240 is an abundant number, since it is smaller than the sum of its proper divisors (13563034560).

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

4246986240 is a wasteful number, since it uses less digits than its factorization.

4246986240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1602 (or 1583 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 4246986240 is about 65168.9054687893. The cubic root of 4246986240 is about 1619.4229311806.

The spelling of 4246986240 in words is "four billion, two hundred forty-six million, nine hundred eighty-six thousand, two hundred forty".