400374072 has 192 divisors, whose sum is σ = 1330318080. Its totient is φ = 106177536.

The previous prime is 400374067. The next prime is 400374101. The reversal of 400374072 is 270473004.

It is a super-2 number, since 2×400374072² = 320598795059722368, which contains 22 as substring.

It is a congruent 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 47 ways as a sum of consecutive naturals, for example, 710863 + ... + 711425.

It is an arithmetic number, because the mean of its divisors is an integer number (6928740).

Almost surely, 2^400374072 is an apocalyptic number.

400374072 is a gapful number since it is divisible by the number (42) 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 400374072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665159040).

400374072 is an abundant number, since it is smaller than the sum of its proper divisors (929944008).

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

400374072 is a wasteful number, since it uses less digits than its factorization.

400374072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 400374072 is about 20009.3496146177. The cubic root of 400374072 is about 737.0359103390.

The spelling of 400374072 in words is "four hundred million, three hundred seventy-four thousand, seventy-two".