407513264 has 60 divisors (see below), whose sum is σ = 851072016. Its totient is φ = 188534016.

The previous prime is 407513257. The next prime is 407513297. The reversal of 407513264 is 462315704.

It is a self number, because there is not a number n which added to its sum of digits gives 407513264.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2355482 + ... + 2355654.

Almost surely, 2^407513264 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 407513264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425536008).

407513264 is an abundant number, since it is smaller than the sum of its proper divisors (443558752).

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

407513264 is a wasteful number, since it uses less digits than its factorization.

407513264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 407513264 is about 20186.9577698077. The cubic root of 407513264 is about 741.3908975566.

Adding to 407513264 its reverse (462315704), we get a palindrome (869828968).

The spelling of 407513264 in words is "four hundred seven million, five hundred thirteen thousand, two hundred sixty-four".