407421504 has 168 divisors, whose sum is σ = 1371201728. Its totient is φ = 113218560.

The previous prime is 407421451. The next prime is 407421571. The reversal of 407421504 is 405124704.

It is a tau number, because it is divible by the number of its divisors (168).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147819 + ... + 150549.

Almost surely, 2^407421504 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 407421504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685600864).

407421504 is an abundant number, since it is smaller than the sum of its proper divisors (963780224).

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

407421504 is a wasteful number, since it uses less digits than its factorization.

407421504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2793 (or 2780 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 407421504 is about 20184.6848873100. The cubic root of 407421504 is about 741.3352469054.

The spelling of 407421504 in words is "four hundred seven million, four hundred twenty-one thousand, five hundred four".