400225500 has 288 divisors, whose sum is σ = 1380986880. Its totient is φ = 97200000.

The previous prime is 400225487. The next prime is 400225513. The reversal of 400225500 is 5522004.

It is an interprime number because it is at equal distance from previous prime (400225487) and next prime (400225513).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2650425 + ... + 2650575.

Almost surely, 2^400225500 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 400225500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690493440).

400225500 is an abundant number, since it is smaller than the sum of its proper divisors (980761380).

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

400225500 is a wasteful number, since it uses less digits than its factorization.

400225500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 400225500 is about 20005.6367056887. The cubic root of 400225500 is about 736.9447319014.

Adding to 400225500 its reverse (5522004), we get a palindrome (405747504).

The spelling of 400225500 in words is "four hundred million, two hundred twenty-five thousand, five hundred".