400857444 has 96 divisors (see below), whose sum is σ = 1140531840. Its totient is φ = 120991104.

The previous prime is 400857427. The next prime is 400857461. The reversal of 400857444 is 444758004.

400857444 is a `hidden beast` number, since 40 + 0 + 8 + 574 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (400857427) and next prime (400857461).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 400857399 and 400857408.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71719 + ... + 77105.

It is an arithmetic number, because the mean of its divisors is an integer number (11880540).

Almost surely, 2^400857444 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 400857444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570265920).

400857444 is an abundant number, since it is smaller than the sum of its proper divisors (739674396).

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

400857444 is a wasteful number, since it uses less digits than its factorization.

400857444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5466 (or 5458 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 400857444 is about 20021.4246246365. The cubic root of 400857444 is about 737.3323991070.

The spelling of 400857444 in words is "four hundred million, eight hundred fifty-seven thousand, four hundred forty-four".