400573440 has 132 divisors (see below), whose sum is σ = 1388136204. Its totient is φ = 106807296.

The previous prime is 400573421. The next prime is 400573469. The reversal of 400573440 is 44375004.

It can be written as a sum of positive squares in 2 ways, for example, as 71368704 + 329204736 = 8448^2 + 18144^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41734 + ... + 50426.

Almost surely, 2^400573440 is an apocalyptic number.

400573440 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 400573440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694068102).

400573440 is an abundant number, since it is smaller than the sum of its proper divisors (987562764).

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

400573440 is a wasteful number, since it uses less digits than its factorization.

400573440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8724 (or 8703 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 400573440 is about 20014.3308656572. The cubic root of 400573440 is about 737.1582267778.

The spelling of 400573440 in words is "four hundred million, five hundred seventy-three thousand, four hundred forty".