400225600 has 84 divisors (see below), whose sum is σ = 1008990108. Its totient is φ = 156160000.

The previous prime is 400225597. The next prime is 400225601. The reversal of 400225600 is 6522004.

It can be written as a sum of positive squares in 6 ways, for example, as 48888064 + 351337536 = 6992^2 + 18744^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400225601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62550 + ... + 68650.

It is an arithmetic number, because the mean of its divisors is an integer number (12011787).

Almost surely, 2^400225600 is an apocalyptic number.

400225600 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 400225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504495054).

400225600 is an abundant number, since it is smaller than the sum of its proper divisors (608764508).

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

400225600 is a wasteful number, since it uses less digits than its factorization.

400225600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6164 (or 6149 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 400225600 is about 20005.6392049842. The cubic root of 400225600 is about 736.9447932789.

Adding to 400225600 its reverse (6522004), we get a palindrome (406747604).

The spelling of 400225600 in words is "four hundred million, two hundred twenty-five thousand, six hundred".