45304000 has 112 divisors (see below), whose sum is σ = 128381760. Its totient is φ = 15513600.

The previous prime is 45303977. The next prime is 45304001. The reversal of 45304000 is 40354.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is not an unprimeable number, because it can be changed into a prime (45304001) 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, 55596 + ... + 56404.

Almost surely, 2^45304000 is an apocalyptic number.

45304000 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 45304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64190880).

45304000 is an abundant number, since it is smaller than the sum of its proper divisors (83077760).

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

45304000 is an equidigital number, since it uses as much as digits as its factorization.

45304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 45304000 is about 6730.8246151567. The cubic root of 45304000 is about 356.4884932228.

Adding to 45304000 its reverse (40354), we get a palindrome (45344354).

The spelling of 45304000 in words is "forty-five million, three hundred four thousand".