407264560 has 20 divisors (see below), whose sum is σ = 946890288. Its totient is φ = 162905792.

The previous prime is 407264527. The next prime is 407264569. The reversal of 407264560 is 65462704.

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (407264569) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2545324 + ... + 2545483.

Almost surely, 2^407264560 is an apocalyptic number.

407264560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

407264560 is an abundant number, since it is smaller than the sum of its proper divisors (539625728).

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

407264560 is a wasteful number, since it uses less digits than its factorization.

407264560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5090820 (or 5090814 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 407264560 is about 20180.7968128119. The cubic root of 407264560 is about 741.2400440581.

The spelling of 407264560 in words is "four hundred seven million, two hundred sixty-four thousand, five hundred sixty".