431368960 has 72 divisors (see below), whose sum is σ = 1127233296. Its totient is φ = 156856320.

The previous prime is 431368943. The next prime is 431368967. The reversal of 431368960 is 69863134.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (431368967) 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, 1239 + ... + 29398.

It is an arithmetic number, because the mean of its divisors is an integer number (15656018).

Almost surely, 2^431368960 is an apocalyptic number.

431368960 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 431368960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563616648).

431368960 is an abundant number, since it is smaller than the sum of its proper divisors (695864336).

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

431368960 is a wasteful number, since it uses less digits than its factorization.

431368960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30669 (or 30655 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The square root of 431368960 is about 20769.4236800158. The cubic root of 431368960 is about 755.5843669649.

The spelling of 431368960 in words is "four hundred thirty-one million, three hundred sixty-eight thousand, nine hundred sixty".