400561800 has 192 divisors, whose sum is σ = 1340539200. Its totient is φ = 98611200.

The previous prime is 400561787. The next prime is 400561801. The reversal of 400561800 is 8165004.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400561801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 466972 + ... + 467828.

It is an arithmetic number, because the mean of its divisors is an integer number (6981975).

Almost surely, 2^400561800 is an apocalyptic number.

400561800 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 400561800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670269600).

400561800 is an abundant number, since it is smaller than the sum of its proper divisors (939977400).

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

400561800 is a wasteful number, since it uses less digits than its factorization.

400561800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 400561800 is about 20014.0400719095. The cubic root of 400561800 is about 737.1510865101.

The spelling of 400561800 in words is "four hundred million, five hundred sixty-one thousand, eight hundred".