400045200 has 240 divisors, whose sum is σ = 1348413696. Its totient is φ = 101273600.

The previous prime is 400045127. The next prime is 400045201. The reversal of 400045200 is 2540004.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 400045200.

It is not an unprimeable number, because it can be changed into a prime (400045201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2312314 + ... + 2312486.

Almost surely, 2^400045200 is an apocalyptic number.

400045200 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 400045200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674206848).

400045200 is an abundant number, since it is smaller than the sum of its proper divisors (948368496).

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

400045200 is a wasteful number, since it uses less digits than its factorization.

400045200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 400045200 is about 20001.1299680793. The cubic root of 400045200 is about 736.8340517201.

Adding to 400045200 its reverse (2540004), we get a palindrome (402585204).

The spelling of 400045200 in words is "four hundred million, forty-five thousand, two hundred".