431350920 has 960 divisors, whose sum is σ = 2085652800. Its totient is φ = 78382080.

The previous prime is 431350897. The next prime is 431350943. The reversal of 431350920 is 29053134.

It is an interprime number because it is at equal distance from previous prime (431350897) and next prime (431350943).

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 239 ways as a sum of consecutive naturals, for example, 22702671 + ... + 22702689.

It is an arithmetic number, because the mean of its divisors is an integer number (2172555).

Almost surely, 2^431350920 is an apocalyptic number.

431350920 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 431350920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1042826400).

431350920 is an abundant number, since it is smaller than the sum of its proper divisors (1654301880).

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

431350920 is a wasteful number, since it uses less digits than its factorization.

431350920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 431350920 is about 20768.9893832127. The cubic root of 431350920 is about 755.5738338843.

The spelling of 431350920 in words is "four hundred thirty-one million, three hundred fifty thousand, nine hundred twenty".