401000625 has 75 divisors (see below), whose sum is σ = 757047511. Its totient is φ = 211464000.

The previous prime is 401000557. The next prime is 401000627. The reversal of 401000625 is 526000104.

It is a happy number.

The square root of 401000625 is 20025.

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

401000625 is a `hidden beast` number, since 40 + 1 + 0 + 0 + 0 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 389549169 + 11451456 = 19737^2 + 3384^2 .

It is a tau number, because it is divible by the number of its divisors (75).

It is not a de Polignac number, because 401000625 - 2⁷ = 401000497 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 401000598 and 401000607.

It is not an unprimeable number, because it can be changed into a prime (401000627) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 4505581 + ... + 4505669.

Almost surely, 2^401000625 is an apocalyptic number.

401000625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

401000625 is the 20025-th square number.

401000625 is the 10013-rd centered octagonal number.

It is an amenable number.

401000625 is a deficient number, since it is larger than the sum of its proper divisors (356046886).

401000625 is an frugal number, since it uses more digits than its factorization.

401000625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The cubic root of 401000625 is about 737.4201771311.

Adding to 401000625 its reverse (526000104), we get a palindrome (927000729).

The spelling of 401000625 in words is "four hundred one million, six hundred twenty-five", and thus it is an aban number.