400847265625 has 27 divisors (see below), whose sum is σ = 501553942423. Its totient is φ = 320361250000.

The previous prime is 400847265617. The next prime is 400847265647. The reversal of 400847265625 is 526562748004.

The square root of 400847265625 is 633125.

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

It can be written as a sum of positive squares in 13 ways, for example, as 100056444489 + 300790821136 = 316317^2 + 548444^2 .

It is not a de Polignac number, because 400847265625 - 2³ = 400847265617 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 395702619 + ... + 395703631.

Almost surely, 2^400847265625 is an apocalyptic number.

400847265625 is the 633125-th square number.

400847265625 is the 316563-rd centered octagonal number.

It is an amenable number.

400847265625 is a deficient number, since it is larger than the sum of its proper divisors (100706676798).

400847265625 is an frugal number, since it uses more digits than its factorization.

400847265625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2066 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 49.

Multiplying 400847265625 by its sum of digits (49), we get a square (19641516015625 = 4431875²).

The spelling of 400847265625 in words is "four hundred billion, eight hundred forty-seven million, two hundred sixty-five thousand, six hundred twenty-five".