407352864 has 48 divisors (see below), whose sum is σ = 1071947520. Its totient is φ = 135448320.

The previous prime is 407352863. The next prime is 407352871. The reversal of 407352864 is 468253704.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (407352863) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35377 + ... + 45455.

It is an arithmetic number, because the mean of its divisors is an integer number (22332240).

Almost surely, 2^407352864 is an apocalyptic number.

It is an amenable number.

407352864 is an abundant number, since it is smaller than the sum of its proper divisors (664594656).

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

407352864 is a wasteful number, since it uses less digits than its factorization.

407352864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10513 (or 10505 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 407352864 is about 20182.9845166665. The cubic root of 407352864 is about 741.2936126203.

The spelling of 407352864 in words is "four hundred seven million, three hundred fifty-two thousand, eight hundred sixty-four".