4615950240 has 576 divisors, whose sum is σ = 18307441152. Its totient is φ = 1088640000.

The previous prime is 4615950181. The next prime is 4615950277. The reversal of 4615950240 is 420595164.

4615950240 is a `hidden beast` number, since 4 + 61 + 59 + 502 + 40 = 666.

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 = 4615950195 and 4615950204.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18390115 + ... + 18390365.

It is an arithmetic number, because the mean of its divisors is an integer number (31783752).

Almost surely, 2^4615950240 is an apocalyptic number.

4615950240 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 4615950240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9153720576).

4615950240 is an abundant number, since it is smaller than the sum of its proper divisors (13691490912).

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

4615950240 is a wasteful number, since it uses less digits than its factorization.

4615950240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 4615950240 is about 67940.7848055938. The cubic root of 4615950240 is about 1665.0235204859.

The spelling of 4615950240 in words is "four billion, six hundred fifteen million, nine hundred fifty thousand, two hundred forty".