431480880 has 120 divisors (see below), whose sum is σ = 1525371120. Its totient is φ = 109002240.

The previous prime is 431480837. The next prime is 431480887. The reversal of 431480880 is 88084134.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (431480887) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2091 + ... + 29450.

It is an arithmetic number, because the mean of its divisors is an integer number (12711426).

Almost surely, 2^431480880 is an apocalyptic number.

431480880 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 431480880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762685560).

431480880 is an abundant number, since it is smaller than the sum of its proper divisors (1093890240).

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

431480880 is a wasteful number, since it uses less digits than its factorization.

431480880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31579 (or 31570 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 431480880 is about 20772.1178506189. The cubic root of 431480880 is about 755.6497075416.

The spelling of 431480880 in words is "four hundred thirty-one million, four hundred eighty thousand, eight hundred eighty".