431400960 has 288 divisors, whose sum is σ = 1553610240. Its totient is φ = 110592000.

The previous prime is 431400953. The next prime is 431401021. The reversal of 431400960 is 69004134.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×431400960² = 372213576577843200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2856885 + ... + 2857035.

It is an arithmetic number, because the mean of its divisors is an integer number (5394480).

Almost surely, 2^431400960 is an apocalyptic number.

431400960 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 431400960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776805120).

431400960 is an abundant number, since it is smaller than the sum of its proper divisors (1122209280).

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

431400960 is a wasteful number, since it uses less digits than its factorization.

431400960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 431400960 is about 20770.1940289445. The cubic root of 431400960 is about 755.6030501991.

The spelling of 431400960 in words is "four hundred thirty-one million, four hundred thousand, nine hundred sixty".