431052000 has 192 divisors, whose sum is σ = 1495900224. Its totient is φ = 108134400.

The previous prime is 431051939. The next prime is 431052001. The reversal of 431052000 is 250134.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431052001) 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 31 ways as a sum of consecutive naturals, for example, 202944 + ... + 205056.

It is an arithmetic number, because the mean of its divisors is an integer number (7791147).

Almost surely, 2^431052000 is an apocalyptic number.

431052000 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 431052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747950112).

431052000 is an abundant number, since it is smaller than the sum of its proper divisors (1064848224).

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

431052000 is a wasteful number, since it uses less digits than its factorization.

431052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2158 (or 2140 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 431052000 is about 20761.7918301865. The cubic root of 431052000 is about 755.3992596095.

The spelling of 431052000 in words is "four hundred thirty-one million, fifty-two thousand".