403616304 has 160 divisors (see below), whose sum is σ = 1426019840. Its totient is φ = 106437888.

The previous prime is 403616303. The next prime is 403616309.

403616304 is a `hidden beast` number, since 40 + 3 + 616 + 3 + 0 + 4 = 666.

403616304 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×403616304² = 325812241709240832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (403616303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34179 + ... + 44445.

It is an arithmetic number, because the mean of its divisors is an integer number (8912624).

Almost surely, 2^403616304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 403616304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713009920).

403616304 is an abundant number, since it is smaller than the sum of its proper divisors (1022403536).

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

403616304 is a wasteful number, since it uses less digits than its factorization.

403616304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10304 (or 10292 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 403616304 is about 20090.2041801471. The cubic root of 403616304 is about 739.0200713193.

It can be divided in two parts, 40361 and 6304, that added together give a triangular number (46665 = T₃₀₅).

The spelling of 403616304 in words is "four hundred three million, six hundred sixteen thousand, three hundred four".