90452880 has 240 divisors, whose sum is σ = 352370304. Its totient is φ = 20367360.

The previous prime is 90452851. The next prime is 90452893. The reversal of 90452880 is 8825409.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 660172 + ... + 660308.

Almost surely, 2^90452880 is an apocalyptic number.

90452880 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90452880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176185152).

90452880 is an abundant number, since it is smaller than the sum of its proper divisors (261917424).

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

90452880 is a wasteful number, since it uses less digits than its factorization.

90452880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 90452880 is about 9510.6719005547. The cubic root of 90452880 is about 448.8908983053.

The spelling of 90452880 in words is "ninety million, four hundred fifty-two thousand, eight hundred eighty".