431768880 has 200 divisors, whose sum is σ = 1565337312. Its totient is φ = 110094336.

The previous prime is 431768833. The next prime is 431768881. The reversal of 431768880 is 88867134.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (431768881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 147592 + ... + 150488.

Almost surely, 2^431768880 is an apocalyptic number.

431768880 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 431768880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782668656).

431768880 is an abundant number, since it is smaller than the sum of its proper divisors (1133568432).

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

431768880 is a wasteful number, since it uses less digits than its factorization.

431768880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2945 (or 2930 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 431768880 is about 20779.0490639009. The cubic root of 431768880 is about 755.8177943360.

The spelling of 431768880 in words is "four hundred thirty-one million, seven hundred sixty-eight thousand, eight hundred eighty".