401625 has 64 divisors (see below), whose sum is σ = 898560. Its totient is φ = 172800.

The previous prime is 401593. The next prime is 401627. The reversal of 401625 is 526104.

It is a happy number.

401625 is a `hidden beast` number, since 40 + 1 + 625 = 666.

It is not a de Polignac number, because 401625 - 2⁵ = 401593 is a prime.

It is a super-2 number, since 2×401625² = 322605281250, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 401598 and 401607.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 401625.

It is not an unprimeable number, because it can be changed into a prime (401627) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23617 + ... + 23633.

It is an arithmetic number, because the mean of its divisors is an integer number (14040).

2⁴⁰¹⁶²⁵ is an apocalyptic number.

401625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

401625 is an abundant number, since it is smaller than the sum of its proper divisors (496935).

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

401625 is a wasteful number, since it uses less digits than its factorization.

401625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 32 counting only the distinct ones).

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

The square root of 401625 is about 633.7389052283. The cubic root of 401625 is about 73.7802710169.

Adding to 401625 its reverse (526104), we get a palindrome (927729).

The spelling of 401625 in words is "four hundred one thousand, six hundred twenty-five".