400550144 has 36 divisors (see below), whose sum is σ = 804978300. Its totient is φ = 198912000.

The previous prime is 400550119. The next prime is 400550201. The reversal of 400550144 is 441055004.

It can be written as a sum of positive squares in 2 ways, for example, as 79423744 + 321126400 = 8912^2 + 17920^2 .

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 32894 + ... + 43394.

Almost surely, 2^400550144 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 400550144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402489150).

400550144 is an abundant number, since it is smaller than the sum of its proper divisors (404428156).

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

400550144 is a wasteful number, since it uses less digits than its factorization.

400550144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10666 (or 10652 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 400550144 is about 20013.7488742114. The cubic root of 400550144 is about 737.1439362889.

The spelling of 400550144 in words is "four hundred million, five hundred fifty thousand, one hundred forty-four".