45989504 has 64 divisors (see below), whose sum is σ = 101347200. Its totient is φ = 20613120.

The previous prime is 45989501. The next prime is 45989509. The reversal of 45989504 is 40598954.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (45989501) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125129 + ... + 125495.

It is an arithmetic number, because the mean of its divisors is an integer number (1583550).

Almost surely, 2^45989504 is an apocalyptic number.

45989504 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 45989504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50673600).

45989504 is an abundant number, since it is smaller than the sum of its proper divisors (55357696).

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

45989504 is a wasteful number, since it uses less digits than its factorization.

45989504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 44.

The square root of 45989504 is about 6781.5561635955. The cubic root of 45989504 is about 358.2775330935.

It can be divided in two parts, 4598950 and 4, that added together give a palindrome (4598954).

The spelling of 45989504 in words is "forty-five million, nine hundred eighty-nine thousand, five hundred four".