400903656 has 128 divisors (see below), whose sum is σ = 1134259200. Its totient is φ = 117411840.

The previous prime is 400903649. The next prime is 400903669. The reversal of 400903656 is 656309004.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 366246 + ... + 367338.

It is an arithmetic number, because the mean of its divisors is an integer number (8861400).

Almost surely, 2^400903656 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 400903656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567129600).

400903656 is an abundant number, since it is smaller than the sum of its proper divisors (733355544).

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

400903656 is a wasteful number, since it uses less digits than its factorization.

400903656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 400903656 is about 20022.5786551083. The cubic root of 400903656 is about 737.3607319521.

The spelling of 400903656 in words is "four hundred million, nine hundred three thousand, six hundred fifty-six".