401304625 has 16 divisors (see below), whose sum is σ = 501608016. Its totient is φ = 320544000.

The previous prime is 401304623. The next prime is 401304637. The reversal of 401304625 is 526403104.

It can be written as a sum of positive squares in 8 ways, for example, as 18241441 + 383063184 = 4271^2 + 19572^2 .

It is not a de Polignac number, because 401304625 - 2¹ = 401304623 is a prime.

It is a super-2 number, since 2×401304625² = 322090804092781250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 401304625.

It is not an unprimeable number, because it can be changed into a prime (401304623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92505 + ... + 96745.

It is an arithmetic number, because the mean of its divisors is an integer number (31350501).

Almost surely, 2^401304625 is an apocalyptic number.

It is an amenable number.

401304625 is a deficient number, since it is larger than the sum of its proper divisors (100303391).

401304625 is an equidigital number, since it uses as much as digits as its factorization.

401304625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5013 (or 5003 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 401304625 is about 20032.5890738067. The cubic root of 401304625 is about 737.6064770138.

Adding to 401304625 its reverse (526403104), we get a palindrome (927707729).

The spelling of 401304625 in words is "four hundred one million, three hundred four thousand, six hundred twenty-five".