400468964 has 24 divisors (see below), whose sum is σ = 817286400. Its totient is φ = 171628968.

The previous prime is 400468951. The next prime is 400468979. The reversal of 400468964 is 469864004.

It is a super-4 number, since 4×400468964⁴ (a number of 36 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 144572 + ... + 147315.

It is an arithmetic number, because the mean of its divisors is an integer number (34053600).

Almost surely, 2^400468964 is an apocalyptic number.

It is an amenable number.

400468964 is an abundant number, since it is smaller than the sum of its proper divisors (416817436).

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

400468964 is a wasteful number, since it uses less digits than its factorization.

400468964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291912 (or 291896 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 41.

The square root of 400468964 is about 20011.7206656499. The cubic root of 400468964 is about 737.0941336289.

The spelling of 400468964 in words is "four hundred million, four hundred sixty-eight thousand, nine hundred sixty-four".