431254890000 has 675 divisors, whose sum is σ = 1666102457019. Its totient is φ = 104021280000.

The previous prime is 431254889993. The next prime is 431254890047. The reversal of 431254890000 is 98452134.

The square root of 431254890000 is 656700.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 33810383376 + 397444506624 = 183876^2 + 630432^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2167109901 + ... + 2167110099.

Almost surely, 2^431254890000 is an apocalyptic number.

431254890000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

431254890000 is the 656700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431254890000

431254890000 is an abundant number, since it is smaller than the sum of its proper divisors (1234847567019).

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

431254890000 is a wasteful number, since it uses less digits than its factorization.

431254890000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Multiplying 431254890000 by its sum of digits (36), we get a square (15525176040000 = 3940200²).

431254890000 divided by its sum of digits (36) gives a square (11979302500 = 109450²).

The spelling of 431254890000 in words is "four hundred thirty-one billion, two hundred fifty-four million, eight hundred ninety thousand".