401765625 has 42 divisors (see below), whose sum is σ = 725654774. Its totient is φ = 214200000.

The previous prime is 401765597. The next prime is 401765629. The reversal of 401765625 is 526567104.

It is a happy number.

It can be written as a sum of positive squares in 7 ways, for example, as 400520169 + 1245456 = 20013^2 + 1116^2 .

It is not a de Polignac number, because 401765625 - 2⁵ = 401765593 is a prime.

It is a super-2 number, since 2×401765625² = 322831234863281250, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 401765625.

It is not an unprimeable number, because it can be changed into a prime (401765629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 139197 + ... + 142053.

Almost surely, 2^401765625 is an apocalyptic number.

401765625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

401765625 is a deficient number, since it is larger than the sum of its proper divisors (323889149).

401765625 is an frugal number, since it uses more digits than its factorization.

401765625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2893 (or 2865 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 401765625 is about 20044.0920223392. The cubic root of 401765625 is about 737.8888115478. Note that the first 4 decimals are identical.

The spelling of 401765625 in words is "four hundred one million, seven hundred sixty-five thousand, six hundred twenty-five".