90480230400 has 720 divisors, whose sum is σ = 349232258816. Its totient is φ = 20242759680.

The previous prime is 90480230389. The next prime is 90480230431. The reversal of 90480230400 is 403208409.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 576307122 + ... + 576307278.

Almost surely, 2^90480230400 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 90480230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174616129408).

90480230400 is an abundant number, since it is smaller than the sum of its proper divisors (258752028416).

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

90480230400 is a wasteful number, since it uses less digits than its factorization.

90480230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 90480230400 its reverse (403208409), we get a palindrome (90883438809).

The spelling of 90480230400 in words is "ninety billion, four hundred eighty million, two hundred thirty thousand, four hundred".