400726656 has 256 divisors, whose sum is σ = 1316044800. Its totient is φ = 119024640.

The previous prime is 400726649. The next prime is 400726673. The reversal of 400726656 is 656627004.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 400726656.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3155265 + ... + 3155391.

It is an arithmetic number, because the mean of its divisors is an integer number (5140800).

Almost surely, 2^400726656 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 400726656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658022400).

400726656 is an abundant number, since it is smaller than the sum of its proper divisors (915318144).

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

400726656 is a wasteful number, since it uses less digits than its factorization.

400726656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 400726656 is about 20018.1581570333. The cubic root of 400726656 is about 737.2522004221.

The spelling of 400726656 in words is "four hundred million, seven hundred twenty-six thousand, six hundred fifty-six".