407564496 has 60 divisors (see below), whose sum is σ = 1142069760. Its totient is φ = 135681600.

The previous prime is 407564491. The next prime is 407564503. The reversal of 407564496 is 694465704.

407564496 is a `hidden beast` number, since 40 + 7 + 564 + 49 + 6 = 666.

It is a super-2 number, since 2×407564496² = 332217636799468032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407564491) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 164515 + ... + 166973.

It is an arithmetic number, because the mean of its divisors is an integer number (19034496).

Almost surely, 2^407564496 is an apocalyptic number.

It is an amenable number.

407564496 is an abundant number, since it is smaller than the sum of its proper divisors (734505264).

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

407564496 is a wasteful number, since it uses less digits than its factorization.

407564496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3624 (or 3615 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 407564496 is about 20188.2266680360. The cubic root of 407564496 is about 741.4219651318.

The spelling of 407564496 in words is "four hundred seven million, five hundred sixty-four thousand, four hundred ninety-six".