407425536 has 240 divisors, whose sum is σ = 1424801664. Its totient is φ = 109412352.

The previous prime is 407425489. The next prime is 407425549. The reversal of 407425536 is 635524704.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 407425536.

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, 547981 + ... + 548723.

Almost surely, 2^407425536 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 407425536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712400832).

407425536 is an abundant number, since it is smaller than the sum of its proper divisors (1017376128).

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

407425536 is a wasteful number, since it uses less digits than its factorization.

407425536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 407425536 is about 20184.7847647677. The cubic root of 407425536 is about 741.3376924103.

The spelling of 407425536 in words is "four hundred seven million, four hundred twenty-five thousand, five hundred thirty-six".