400452482976 has 192 divisors, whose sum is σ = 1294204520448. Its totient is φ = 105578339328.

The previous prime is 400452482957. The next prime is 400452482981. The reversal of 400452482976 is 679284254004.

It is a super-2 number, since 2×400452482976² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35174181 + ... + 35185563.

It is an arithmetic number, because the mean of its divisors is an integer number (6740648544).

Almost surely, 2^400452482976 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 400452482976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647102260224).

400452482976 is an abundant number, since it is smaller than the sum of its proper divisors (893752037472).

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

400452482976 is a wasteful number, since it uses less digits than its factorization.

400452482976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15443 (or 15435 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 51.

The spelling of 400452482976 in words is "four hundred billion, four hundred fifty-two million, four hundred eighty-two thousand, nine hundred seventy-six".