403313625 has 192 divisors, whose sum is σ = 899458560. Its totient is φ = 171072000.

The previous prime is 403313609. The next prime is 403313657. The reversal of 403313625 is 526313304.

It is a happy number.

403313625 is a `hidden beast` number, since 4 + 0 + 3 + 31 + 3 + 625 = 666.

It is not a de Polignac number, because 403313625 - 2⁴ = 403313609 is a prime.

It is a super-2 number, since 2×403313625² = 325323760221281250, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3700071 + ... + 3700179.

It is an arithmetic number, because the mean of its divisors is an integer number (4684680).

Almost surely, 2^403313625 is an apocalyptic number.

403313625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

403313625 is an abundant number, since it is smaller than the sum of its proper divisors (496144935).

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

403313625 is a wasteful number, since it uses less digits than its factorization.

403313625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 403313625 is about 20082.6697677376. The cubic root of 403313625 is about 738.8352903837.

Adding to 403313625 its reverse (526313304), we get a palindrome (929626929).

It can be divided in two parts, 40331 and 3625, that added together give a triangular number (43956 = T₂₉₆).

The spelling of 403313625 in words is "four hundred three million, three hundred thirteen thousand, six hundred twenty-five".