431978500 has 48 divisors (see below), whose sum is σ = 998957232. Its totient is φ = 162624000.

The previous prime is 431978467. The next prime is 431978507. The reversal of 431978500 is 5879134.

It can be written as a sum of positive squares in 8 ways, for example, as 6959044 + 425019456 = 2638^2 + 20616^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 431978500.

It is not an unprimeable number, because it can be changed into a prime (431978507) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16911 + ... + 33910.

It is an arithmetic number, because the mean of its divisors is an integer number (20811609).

Almost surely, 2^431978500 is an apocalyptic number.

It is an amenable number.

431978500 is an abundant number, since it is smaller than the sum of its proper divisors (566978732).

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

431978500 is a wasteful number, since it uses less digits than its factorization.

431978500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50857 (or 50845 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 431978500 is about 20784.0924747750. The cubic root of 431978500 is about 755.9400888481.

The spelling of 431978500 in words is "four hundred thirty-one million, nine hundred seventy-eight thousand, five hundred".