431961120 has 96 divisors (see below), whose sum is σ = 1511879040. Its totient is φ = 115188480.

The previous prime is 431961113. The next prime is 431961151. The reversal of 431961120 is 21169134.

431961120 is a `hidden beast` number, since 43 + 1 + 9 + 611 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

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, 45676 + ... + 54315.

It is an arithmetic number, because the mean of its divisors is an integer number (15748740).

Almost surely, 2^431961120 is an apocalyptic number.

431961120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

431961120 is an abundant number, since it is smaller than the sum of its proper divisors (1079917920).

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

431961120 is a wasteful number, since it uses less digits than its factorization.

431961120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100015 (or 100001 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 431961120 is about 20783.6743623451. The cubic root of 431961120 is about 755.9299506776.

The spelling of 431961120 in words is "four hundred thirty-one million, nine hundred sixty-one thousand, one hundred twenty".