400505632 has 48 divisors (see below), whose sum is σ = 804021120. Its totient is φ = 196339968.

The previous prime is 400505563. The next prime is 400505701. The reversal of 400505632 is 236505004.

It is an interprime number because it is at equal distance from previous prime (400505563) and next prime (400505701).

It is a super-2 number, since 2×400505632² = 320809522527438848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 400505597 and 400505606.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 786594 + ... + 787102.

It is an arithmetic number, because the mean of its divisors is an integer number (16750440).

Almost surely, 2^400505632 is an apocalyptic number.

It is an amenable number.

400505632 is an abundant number, since it is smaller than the sum of its proper divisors (403515488).

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

400505632 is a wasteful number, since it uses less digits than its factorization.

400505632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 400505632 is about 20012.6368077772. The cubic root of 400505632 is about 737.1166297066.

The spelling of 400505632 in words is "four hundred million, five hundred five thousand, six hundred thirty-two".