431878770 has 64 divisors (see below), whose sum is σ = 1176215040. Its totient is φ = 112713984.

The previous prime is 431878747. The next prime is 431878787. The reversal of 431878770 is 77878134.

It is a happy number.

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

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, 4327 + ... + 29706.

It is an arithmetic number, because the mean of its divisors is an integer number (18378360).

Almost surely, 2^431878770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431878770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588107520).

431878770 is an abundant number, since it is smaller than the sum of its proper divisors (744336270).

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

431878770 is a wasteful number, since it uses less digits than its factorization.

431878770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34096 (or 34090 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The square root of 431878770 is about 20781.6931456511. The cubic root of 431878770 is about 755.8819102523.

The spelling of 431878770 in words is "four hundred thirty-one million, eight hundred seventy-eight thousand, seven hundred seventy".