90405144 has 48 divisors (see below), whose sum is σ = 245567400. Its totient is φ = 30046464.

The previous prime is 90405143. The next prime is 90405181. The reversal of 90405144 is 44150409.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90405143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25632 + ... + 28944.

Almost surely, 2^90405144 is an apocalyptic number.

It is an amenable number.

90405144 is an abundant number, since it is smaller than the sum of its proper divisors (155162256).

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

90405144 is a wasteful number, since it uses less digits than its factorization.

90405144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3704 (or 3697 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 90405144 is about 9508.1619674888. The cubic root of 90405144 is about 448.8119178587.

The spelling of 90405144 in words is "ninety million, four hundred five thousand, one hundred forty-four".