407752608960 has 224 divisors, whose sum is σ = 1439016883200. Its totient is φ = 108691983360.

The previous prime is 407752608953. The next prime is 407752609001. The reversal of 407752608960 is 69806257704.

407752608960 is a `hidden beast` number, since 40 + 77 + 526 + 0 + 8 + 9 + 6 + 0 = 666.

It is a super-2 number, since 2×407752608960² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 407752608897 and 407752608906.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26940595 + ... + 26955725.

Almost surely, 2^407752608960 is an apocalyptic number.

407752608960 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 407752608960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719508441600).

407752608960 is an abundant number, since it is smaller than the sum of its proper divisors (1031264274240).

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

407752608960 is a wasteful number, since it uses less digits than its factorization.

407752608960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18276 (or 18260 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 407752608960 in words is "four hundred seven billion, seven hundred fifty-two million, six hundred eight thousand, nine hundred sixty".