400371840 has 384 divisors, whose sum is σ = 1546646400. Its totient is φ = 94617600.

The previous prime is 400371821. The next prime is 400371863. The reversal of 400371840 is 48173004.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×400371840² = 320595220529971200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4498516 + ... + 4498604.

It is an arithmetic number, because the mean of its divisors is an integer number (4027725).

Almost surely, 2^400371840 is an apocalyptic number.

400371840 is a gapful number since it is divisible by the number (40) 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 400371840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773323200).

400371840 is an abundant number, since it is smaller than the sum of its proper divisors (1146274560).

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

400371840 is a wasteful number, since it uses less digits than its factorization.

400371840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 400371840 is about 20009.2938406132. The cubic root of 400371840 is about 737.0345407305.

The spelling of 400371840 in words is "four hundred million, three hundred seventy-one thousand, eight hundred forty".