900025320400 has 60 divisors (see below), whose sum is σ = 2168436698892. Its totient is φ = 358990213120.

The previous prime is 900025320343. The next prime is 900025320401. The reversal of 900025320400 is 4023520009.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 20849049664 + 879176270736 = 144392^2 + 937644^2 .

It is a super-2 number, since 2×900025320400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (900025320401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3045859 + ... + 3328258.

Almost surely, 2^900025320400 is an apocalyptic number.

It is an amenable number.

900025320400 is an abundant number, since it is smaller than the sum of its proper divisors (1268411378492).

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

900025320400 is a wasteful number, since it uses less digits than its factorization.

900025320400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6374488 (or 6374477 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 900025320400 its reverse (4023520009), we get a palindrome (904048840409).

The spelling of 900025320400 in words is "nine hundred billion, twenty-five million, three hundred twenty thousand, four hundred".