90709392400 has 225 divisors, whose sum is σ = 246196084673. Its totient is φ = 32093740800.

The previous prime is 90709392341. The next prime is 90709392409. The reversal of 90709392400 is 429390709.

The square root of 90709392400 is 301180.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 26501904 + 90682890496 = 5148^2 + 301136^2 .

It is not an unprimeable number, because it can be changed into a prime (90709392409) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2451605182 + ... + 2451605218.

Almost surely, 2^90709392400 is an apocalyptic number.

90709392400 is the 301180-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90709392400

90709392400 is an abundant number, since it is smaller than the sum of its proper divisors (155486692273).

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

90709392400 is an frugal number, since it uses more digits than its factorization.

90709392400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 43.

The spelling of 90709392400 in words is "ninety billion, seven hundred nine million, three hundred ninety-two thousand, four hundred".