431172400 has 120 divisors (see below), whose sum is σ = 1081055808. Its totient is φ = 165120000.

The previous prime is 431172361. The next prime is 431172409. The reversal of 431172400 is 4271134.

It is not an unprimeable number, because it can be changed into a prime (431172409) 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, 1000185 + ... + 1000615.

Almost surely, 2^431172400 is an apocalyptic number.

431172400 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 431172400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540527904).

431172400 is an abundant number, since it is smaller than the sum of its proper divisors (649883408).

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

431172400 is a wasteful number, since it uses less digits than its factorization.

431172400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 431172400 is about 20764.6911847973. The cubic root of 431172400 is about 755.4695849254.

It can be divided in two parts, 431 and 172400, that multiplied together give a square (74304400 = 8620²).

The spelling of 431172400 in words is "four hundred thirty-one million, one hundred seventy-two thousand, four hundred".