400771968 has 128 divisors (see below), whose sum is σ = 1111587840. Its totient is φ = 127795200.

The previous prime is 400771949. The next prime is 400771979. The reversal of 400771968 is 869177004.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1559296 + ... + 1559552.

It is an arithmetic number, because the mean of its divisors is an integer number (8684280).

Almost surely, 2^400771968 is an apocalyptic number.

400771968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400771968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555793920).

400771968 is an abundant number, since it is smaller than the sum of its proper divisors (710815872).

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

400771968 is a wasteful number, since it uses less digits than its factorization.

400771968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The square root of 400771968 is about 20019.2898974964. The cubic root of 400771968 is about 737.2799875368.

The spelling of 400771968 in words is "four hundred million, seven hundred seventy-one thousand, nine hundred sixty-eight".