431413920 has 288 divisors, whose sum is σ = 1700794368. Its totient is φ = 97542144.

The previous prime is 431413919. The next prime is 431413933. The reversal of 431413920 is 29314134.

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

It is a super-2 number, since 2×431413920² = 372235940739532800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1279992 + ... + 1280328.

It is an arithmetic number, because the mean of its divisors is an integer number (5905536).

Almost surely, 2^431413920 is an apocalyptic number.

431413920 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 431413920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850397184).

431413920 is an abundant number, since it is smaller than the sum of its proper divisors (1269380448).

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

431413920 is a wasteful number, since it uses less digits than its factorization.

431413920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 481 counting only the distinct ones).

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

The square root of 431413920 is about 20770.5060121317. The cubic root of 431413920 is about 755.6106166460.

The spelling of 431413920 in words is "four hundred thirty-one million, four hundred thirteen thousand, nine hundred twenty".