90260448400 has 60 divisors (see below), whose sum is σ = 217391888484. Its totient is φ = 36014080000.

The previous prime is 90260448379. The next prime is 90260448403. The reversal of 90260448400 is 484406209.

It can be written as a sum of positive squares in 6 ways, for example, as 13624492176 + 76635956224 = 116724^2 + 276832^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 90260448400.

It is not an unprimeable number, because it can be changed into a prime (90260448403) 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, 120961 + ... + 441760.

Almost surely, 2^90260448400 is an apocalyptic number.

It is an amenable number.

90260448400 is an abundant number, since it is smaller than the sum of its proper divisors (127131440084).

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

90260448400 is a wasteful number, since it uses less digits than its factorization.

90260448400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563140 (or 563129 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The spelling of 90260448400 in words is "ninety billion, two hundred sixty million, four hundred forty-eight thousand, four hundred".