90045480 has 64 divisors (see below), whose sum is σ = 308730240. Its totient is φ = 20581632.

The previous prime is 90045479. The next prime is 90045491. The reversal of 90045480 is 8454009.

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 15 ways as a sum of consecutive naturals, for example, 52759 + ... + 54438.

It is an arithmetic number, because the mean of its divisors is an integer number (4823910).

Almost surely, 2^90045480 is an apocalyptic number.

It is an amenable number.

90045480 is an abundant number, since it is smaller than the sum of its proper divisors (218684760).

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

90045480 is a wasteful number, since it uses less digits than its factorization.

90045480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107218 (or 107214 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 90045480 is about 9489.2296842262. The cubic root of 90045480 is about 448.2159487172.

Adding to 90045480 its reverse (8454009), we get a palindrome (98499489).

It can be divided in two parts, 90045 and 480, that added together give a triangular number (90525 = T₄₂₅).

The spelling of 90045480 in words is "ninety million, forty-five thousand, four hundred eighty".