90045464 has 64 divisors (see below), whose sum is σ = 187920000. Its totient is φ = 40395264.

The previous prime is 90045443. The next prime is 90045469. The reversal of 90045464 is 46454009.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 90045464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90045469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1139777 + ... + 1139855.

It is an arithmetic number, because the mean of its divisors is an integer number (2936250).

Almost surely, 2^90045464 is an apocalyptic number.

It is an amenable number.

90045464 is an abundant number, since it is smaller than the sum of its proper divisors (97874536).

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

90045464 is a wasteful number, since it uses less digits than its factorization.

90045464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 90045464 is about 9489.2288411651. The cubic root of 90045464 is about 448.2159221697.

It can be divided in two parts, 90045 and 464, that added together give a palindrome (90509).

The spelling of 90045464 in words is "ninety million, forty-five thousand, four hundred sixty-four".