90465408 has 192 divisors, whose sum is σ = 291189600. Its totient is φ = 26949120.

The previous prime is 90465383. The next prime is 90465433. The reversal of 90465408 is 80456409.

It is an interprime number because it is at equal distance from previous prime (90465383) and next prime (90465433).

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 1533283 + ... + 1533341.

Almost surely, 2^90465408 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 90465408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145594800).

90465408 is an abundant number, since it is smaller than the sum of its proper divisors (200724192).

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

90465408 is a wasteful number, since it uses less digits than its factorization.

90465408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 90465408 is about 9511.3305062962. The cubic root of 90465408 is about 448.9116216018.

The spelling of 90465408 in words is "ninety million, four hundred sixty-five thousand, four hundred eight".