45909552 has 160 divisors (see below), whose sum is σ = 137491200. Its totient is φ = 13095936.

The previous prime is 45909551. The next prime is 45909559. The reversal of 45909552 is 25590954.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 45909552.

It is not an unprimeable number, because it can be changed into a prime (45909551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 778099 + ... + 778157.

It is an arithmetic number, because the mean of its divisors is an integer number (859320).

Almost surely, 2^45909552 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 45909552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68745600).

45909552 is an abundant number, since it is smaller than the sum of its proper divisors (91581648).

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

45909552 is a wasteful number, since it uses less digits than its factorization.

45909552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 39.

The square root of 45909552 is about 6775.6587871586. The cubic root of 45909552 is about 358.0697927868.

The spelling of 45909552 in words is "forty-five million, nine hundred nine thousand, five hundred fifty-two".