407604064728 has 512 divisors, whose sum is σ = 1291631616000. Its totient is φ = 104613949440.

The previous prime is 407604064691. The next prime is 407604064739. The reversal of 407604064728 is 827460406704.

It is a super-2 number, since 2×407604064728² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 745162551 + ... + 745163097.

It is an arithmetic number, because the mean of its divisors is an integer number (2522718000).

Almost surely, 2^407604064728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407604064728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645815808000).

407604064728 is an abundant number, since it is smaller than the sum of its proper divisors (884027551272).

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

407604064728 is a wasteful number, since it uses less digits than its factorization.

407604064728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 48.

The spelling of 407604064728 in words is "four hundred seven billion, six hundred four million, sixty-four thousand, seven hundred twenty-eight".