45052000 has 96 divisors (see below), whose sum is σ = 126584640. Its totient is φ = 15436800.

The previous prime is 45051971. The next prime is 45052001. The reversal of 45052000 is 25054.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45052001) 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, 27196 + ... + 28804.

It is an arithmetic number, because the mean of its divisors is an integer number (1318590).

Almost surely, 2^45052000 is an apocalyptic number.

45052000 is a gapful number since it is divisible by the number (40) 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 45052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63292320).

45052000 is an abundant number, since it is smaller than the sum of its proper divisors (81532640).

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

45052000 is a wasteful number, since it uses less digits than its factorization.

45052000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1641 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 16.

The square root of 45052000 is about 6712.0786646165. The cubic root of 45052000 is about 355.8262839707.

Adding to 45052000 its reverse (25054), we get a palindrome (45077054).

The spelling of 45052000 in words is "forty-five million, fifty-two thousand".