400369968 has 60 divisors (see below), whose sum is σ = 1125875608. Its totient is φ = 132814080.

The previous prime is 400369967. The next prime is 400369979. The reversal of 400369968 is 869963004.

It is a super-2 number, since 2×400369968² = 320592222552642048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (400369967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23796 + ... + 36972.

Almost surely, 2^400369968 is an apocalyptic number.

400369968 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 400369968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562937804).

400369968 is an abundant number, since it is smaller than the sum of its proper divisors (725505640).

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

400369968 is a wasteful number, since it uses less digits than its factorization.

400369968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13402 (or 13393 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 400369968 is about 20009.2470622960. The cubic root of 400369968 is about 737.0333920226.

The spelling of 400369968 in words is "four hundred million, three hundred sixty-nine thousand, nine hundred sixty-eight".