45171600 has 60 divisors (see below), whose sum is σ = 144703536. Its totient is φ = 12045440.

The previous prime is 45171587. The next prime is 45171617. The reversal of 45171600 is 617154.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17622 + ... + 20021.

Almost surely, 2^45171600 is an apocalyptic number.

45171600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45171600 is an abundant number, since it is smaller than the sum of its proper divisors (99531936).

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

45171600 is a wasteful number, since it uses less digits than its factorization.

45171600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37664 (or 37653 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 45171600 is about 6720.9820710965. The cubic root of 45171600 is about 356.1408776279.

Adding to 45171600 its reverse (617154), we get a palindrome (45788754).

The spelling of 45171600 in words is "forty-five million, one hundred seventy-one thousand, six hundred".