407431680 has 80 divisors (see below), whose sum is σ = 1302532704. Its totient is φ = 108646400.

The previous prime is 407431663. The next prime is 407431681. The reversal of 407431680 is 86134704.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (407431681) 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, 18846 + ... + 34205.

Almost surely, 2^407431680 is an apocalyptic number.

407431680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

407431680 is an abundant number, since it is smaller than the sum of its proper divisors (895101024).

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

407431680 is an equidigital number, since it uses as much as digits as its factorization.

407431680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53077 (or 53061 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 407431680 is about 20184.9369580388. The cubic root of 407431680 is about 741.3414188630.

The spelling of 407431680 in words is "four hundred seven million, four hundred thirty-one thousand, six hundred eighty".