431904960 has 280 divisors, whose sum is σ = 1619067120. Its totient is φ = 108988416.

The previous prime is 431904937. The next prime is 431904961. The reversal of 431904960 is 69409134.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (431904961) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 492042 + ... + 492918.

Almost surely, 2^431904960 is an apocalyptic number.

431904960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431904960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809533560).

431904960 is an abundant number, since it is smaller than the sum of its proper divisors (1187162160).

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

431904960 is a wasteful number, since it uses less digits than its factorization.

431904960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 431904960 is about 20782.3232579998. The cubic root of 431904960 is about 755.8971893449.

The spelling of 431904960 in words is "four hundred thirty-one million, nine hundred four thousand, nine hundred sixty".