431780400 has 360 divisors, whose sum is σ = 1597504896. Its totient is φ = 107827200.

The previous prime is 431780383. The next prime is 431780413. The reversal of 431780400 is 4087134.

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5914764 + ... + 5914836.

Almost surely, 2^431780400 is an apocalyptic number.

431780400 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 431780400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798752448).

431780400 is an abundant number, since it is smaller than the sum of its proper divisors (1165724496).

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

431780400 is a wasteful number, since it uses less digits than its factorization.

431780400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 431780400 is about 20779.3262643426. The cubic root of 431780400 is about 755.8245162529.

The spelling of 431780400 in words is "four hundred thirty-one million, seven hundred eighty thousand, four hundred".