45789504 has 56 divisors (see below), whose sum is σ = 126431040. Its totient is φ = 14598144.

The previous prime is 45789503. The next prime is 45789559. The reversal of 45789504 is 40598754.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45789503) 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 7 ways as a sum of consecutive naturals, for example, 769 + ... + 9600.

Almost surely, 2^45789504 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 45789504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63215520).

45789504 is an abundant number, since it is smaller than the sum of its proper divisors (80641536).

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

45789504 is a wasteful number, since it uses less digits than its factorization.

45789504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10407 (or 10397 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 45789504 is about 6766.7942188307. The cubic root of 45789504 is about 357.7574170936.

The spelling of 45789504 in words is "forty-five million, seven hundred eighty-nine thousand, five hundred four".