45371600 has 60 divisors (see below), whose sum is σ = 112552320. Its totient is φ = 17558400.

The previous prime is 45371593. The next prime is 45371609. The reversal of 45371600 is 617354.

It is a self number, because there is not a number n which added to its sum of digits gives 45371600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45371609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10571 + ... + 14229.

It is an arithmetic number, because the mean of its divisors is an integer number (1875872).

Almost surely, 2^45371600 is an apocalyptic number.

45371600 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 45371600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56276160).

45371600 is an abundant number, since it is smaller than the sum of its proper divisors (67180720).

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

45371600 is a wasteful number, since it uses less digits than its factorization.

45371600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3708 (or 3697 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 45371600 is about 6735.8444162555. The cubic root of 45371600 is about 356.6657155864.

Adding to 45371600 its reverse (617354), we get a palindrome (45988954).

The spelling of 45371600 in words is "forty-five million, three hundred seventy-one thousand, six hundred".