407404560 has 40 divisors (see below), whose sum is σ = 1262954880. Its totient is φ = 108641152.

The previous prime is 407404523. The next prime is 407404567. The reversal of 407404560 is 65404704.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (407404567) 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, 848520 + ... + 848999.

It is an arithmetic number, because the mean of its divisors is an integer number (31573872).

Almost surely, 2^407404560 is an apocalyptic number.

407404560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

407404560 is an abundant number, since it is smaller than the sum of its proper divisors (855550320).

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

407404560 is a wasteful number, since it uses less digits than its factorization.

407404560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1697535 (or 1697529 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 407404560 is about 20184.2651587815. The cubic root of 407404560 is about 741.3249697859.

The spelling of 407404560 in words is "four hundred seven million, four hundred four thousand, five hundred sixty".