45501600 has 72 divisors (see below), whose sum is σ = 148115520. Its totient is φ = 12133120.

The previous prime is 45501587. The next prime is 45501607. The reversal of 45501600 is 610554.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (45501607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7080 + ... + 11879.

It is an arithmetic number, because the mean of its divisors is an integer number (2057160).

Almost surely, 2^45501600 is an apocalyptic number.

45501600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45501600 is an abundant number, since it is smaller than the sum of its proper divisors (102613920).

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

45501600 is a wasteful number, since it uses less digits than its factorization.

45501600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18982 (or 18969 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 45501600 is about 6745.4873804641. The cubic root of 45501600 is about 357.0060336841.

The spelling of 45501600 in words is "forty-five million, five hundred one thousand, six hundred".