431948160 has 256 divisors, whose sum is σ = 1748851200. Its totient is φ = 98703360.

The previous prime is 431948131. The next prime is 431948173. The reversal of 431948160 is 61849134.

431948160 is a `hidden beast` number, since 431 + 94 + 81 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119175 + ... + 122745.

It is an arithmetic number, because the mean of its divisors is an integer number (6831450).

Almost surely, 2^431948160 is an apocalyptic number.

431948160 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 431948160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874425600).

431948160 is an abundant number, since it is smaller than the sum of its proper divisors (1316903040).

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

431948160 is a wasteful number, since it uses less digits than its factorization.

431948160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3606 (or 3588 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 431948160 is about 20783.3625768305. The cubic root of 431948160 is about 755.9223906221.

The spelling of 431948160 in words is "four hundred thirty-one million, nine hundred forty-eight thousand, one hundred sixty".