400471200 has 108 divisors (see below), whose sum is σ = 1412186958. Its totient is φ = 106790400.

The previous prime is 400471199. The next prime is 400471207. The reversal of 400471200 is 2174004.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 192765456 + 207705744 = 13884^2 + 14412^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (400471207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 20611 + ... + 35010.

Almost surely, 2^400471200 is an apocalyptic number.

400471200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400471200 is an abundant number, since it is smaller than the sum of its proper divisors (1011715758).

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

400471200 is a wasteful number, since it uses less digits than its factorization.

400471200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55647 (or 55631 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 400471200 is about 20011.7765328319. The cubic root of 400471200 is about 737.0955054700.

The spelling of 400471200 in words is "four hundred million, four hundred seventy-one thousand, two hundred".