431264040 has 64 divisors (see below), whose sum is σ = 1315742400. Its totient is φ = 113052672.

The previous prime is 431264039. The next prime is 431264069. The reversal of 431264040 is 40462134.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 431264040.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23377 + ... + 37536.

It is an arithmetic number, because the mean of its divisors is an integer number (20558475).

Almost surely, 2^431264040 is an apocalyptic number.

431264040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

431264040 is an abundant number, since it is smaller than the sum of its proper divisors (884478360).

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

431264040 is a wasteful number, since it uses less digits than its factorization.

431264040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60986 (or 60982 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 431264040 is about 20766.8976980193. The cubic root of 431264040 is about 755.5231028288.

The spelling of 431264040 in words is "four hundred thirty-one million, two hundred sixty-four thousand, forty".