403632768 has 384 divisors, whose sum is σ = 1445592960. Its totient is φ = 97320960.

The previous prime is 403632763. The next prime is 403632769. The reversal of 403632768 is 867236304.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×403632768² = 325838822806683648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (403632763) 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 47 ways as a sum of consecutive naturals, for example, 5529180 + ... + 5529252.

It is an arithmetic number, because the mean of its divisors is an integer number (3764565).

Almost surely, 2^403632768 is an apocalyptic number.

403632768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 403632768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722796480).

403632768 is an abundant number, since it is smaller than the sum of its proper divisors (1041960192).

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

403632768 is a wasteful number, since it uses less digits than its factorization.

403632768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The square root of 403632768 is about 20090.6139279018. The cubic root of 403632768 is about 739.0301196919.

The spelling of 403632768 in words is "four hundred three million, six hundred thirty-two thousand, seven hundred sixty-eight".