90288230400 has 351 divisors, whose sum is σ = 324429529359. Its totient is φ = 23999938560.

The previous prime is 90288230377. The next prime is 90288230441. The reversal of 90288230400 is 403288209.

The square root of 90288230400 is 300480.

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

It can be written as a sum of positive squares in 4 ways, for example, as 50722246656 + 39565983744 = 225216^2 + 198912^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 288460644 + ... + 288460956.

Almost surely, 2^90288230400 is an apocalyptic number.

90288230400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

90288230400 is the 300480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90288230400

90288230400 is an abundant number, since it is smaller than the sum of its proper divisors (234141298959).

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

90288230400 is an equidigital number, since it uses as much as digits as its factorization.

90288230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Multiplying 90288230400 by its sum of digits (36), we get a square (3250376294400 = 1802880²).

90288230400 divided by its sum of digits (36) gives a square (2508006400 = 50080²).

The spelling of 90288230400 in words is "ninety billion, two hundred eighty-eight million, two hundred thirty thousand, four hundred".