400761984 has 288 divisors, whose sum is σ = 1329080400. Its totient is φ = 106638336.

The previous prime is 400761953. The next prime is 400762013. The reversal of 400761984 is 489167004.

It is a happy number.

It is a super-2 number, since 2×400761984² = 321220335639232512, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6792547 + ... + 6792605.

Almost surely, 2^400761984 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 400761984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664540200).

400761984 is an abundant number, since it is smaller than the sum of its proper divisors (928318416).

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

400761984 is a wasteful number, since it uses less digits than its factorization.

400761984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 400761984 is about 20019.0405364493. The cubic root of 400761984 is about 737.2738651321.

The spelling of 400761984 in words is "four hundred million, seven hundred sixty-one thousand, nine hundred eighty-four".