405913968 has 60 divisors (see below), whose sum is σ = 1137475560. Its totient is φ = 135128448.

The previous prime is 405913951. The next prime is 405913973. The reversal of 405913968 is 869319504.

It is a happy number.

It is a super-2 number, since 2×405913968² = 329532298835010048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 156103 + ... + 158681.

It is an arithmetic number, because the mean of its divisors is an integer number (18957926).

Almost surely, 2^405913968 is an apocalyptic number.

405913968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

405913968 is an abundant number, since it is smaller than the sum of its proper divisors (731561592).

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

405913968 is a wasteful number, since it uses less digits than its factorization.

405913968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3686 (or 3677 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 405913968 is about 20147.3067182688. The cubic root of 405913968 is about 740.4197569826.

The spelling of 405913968 in words is "four hundred five million, nine hundred thirteen thousand, nine hundred sixty-eight".