431264304 has 80 divisors (see below), whose sum is σ = 1271391840. Its totient is φ = 139864320.

The previous prime is 431264303. The next prime is 431264321. The reversal of 431264304 is 403462134.

431264304 is a `hidden beast` number, since 4 + 3 + 12 + 643 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (431264303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2494 + ... + 29474.

It is an arithmetic number, because the mean of its divisors is an integer number (15892398).

Almost surely, 2^431264304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431264304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635695920).

431264304 is an abundant number, since it is smaller than the sum of its proper divisors (840127536).

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

431264304 is a wasteful number, since it uses less digits than its factorization.

431264304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27035 (or 27023 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 431264304 is about 20766.9040542879. The cubic root of 431264304 is about 755.5232569943.

The spelling of 431264304 in words is "four hundred thirty-one million, two hundred sixty-four thousand, three hundred four".