45475584 has 144 divisors (see below), whose sum is σ = 151092480. Its totient is φ = 11796480.

The previous prime is 45475583. The next prime is 45475589. The reversal of 45475584 is 48557454.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45475583) 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, 58752 + ... + 59520.

Almost surely, 2^45475584 is an apocalyptic number.

45475584 is a gapful number since it is divisible by the number (44) 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 45475584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75546240).

45475584 is an abundant number, since it is smaller than the sum of its proper divisors (105616896).

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

45475584 is a wasteful number, since it uses less digits than its factorization.

45475584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 792 counting only the distinct ones).

The product of its digits is 448000, while the sum is 42.

The square root of 45475584 is about 6743.5587044231. The cubic root of 45475584 is about 356.9379801088.

The spelling of 45475584 in words is "forty-five million, four hundred seventy-five thousand, five hundred eighty-four".