90294470400 has 216 divisors, whose sum is σ = 298265753520. Its totient is φ = 24056299520.

The previous prime is 90294470363. The next prime is 90294470401. The reversal of 90294470400 is 407449209.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90294470401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39723664 + ... + 39725936.

It is an arithmetic number, because the mean of its divisors is an integer number (1380859970).

Almost surely, 2^90294470400 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 90294470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149132876760).

90294470400 is an abundant number, since it is smaller than the sum of its proper divisors (207971283120).

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

90294470400 is a wasteful number, since it uses less digits than its factorization.

90294470400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4371 (or 4352 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 90294470400 in words is "ninety billion, two hundred ninety-four million, four hundred seventy thousand, four hundred".