400977768 has 48 divisors (see below), whose sum is σ = 1047957120. Its totient is φ = 127843936.

The previous prime is 400977757. The next prime is 400977779. The reversal of 400977768 is 867779004.

It is an interprime number because it is at equal distance from previous prime (400977757) and next prime (400977779).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3096 + ... + 28487.

It is an arithmetic number, because the mean of its divisors is an integer number (21832440).

Almost surely, 2^400977768 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 400977768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523978560).

400977768 is an abundant number, since it is smaller than the sum of its proper divisors (646979352).

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

400977768 is a wasteful number, since it uses less digits than its factorization.

400977768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31638 (or 31611 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 48.

The square root of 400977768 is about 20024.4292802567. The cubic root of 400977768 is about 737.4061659034.

The spelling of 400977768 in words is "four hundred million, nine hundred seventy-seven thousand, seven hundred sixty-eight".