431378000 has 40 divisors (see below), whose sum is σ = 1043076840. Its totient is φ = 172550400.

The previous prime is 431377963. The next prime is 431378011. The reversal of 431378000 is 873134.

It can be written as a sum of positive squares in 4 ways, for example, as 75829264 + 355548736 = 8708^2 + 18856^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105845 + ... + 109844.

It is an arithmetic number, because the mean of its divisors is an integer number (26076921).

Almost surely, 2^431378000 is an apocalyptic number.

431378000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

431378000 is an abundant number, since it is smaller than the sum of its proper divisors (611698840).

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

431378000 is a wasteful number, since it uses less digits than its factorization.

431378000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215712 (or 215696 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 431378000 is about 20769.6413064838. The cubic root of 431378000 is about 755.5896450722.

The spelling of 431378000 in words is "four hundred thirty-one million, three hundred seventy-eight thousand".