45841200 has 60 divisors (see below), whose sum is σ = 146848488. Its totient is φ = 12224000.

The previous prime is 45841177. The next prime is 45841207. The reversal of 45841200 is 214854.

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

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (45841207) 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, 17901 + ... + 20300.

Almost surely, 2^45841200 is an apocalyptic number.

45841200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45841200 is an abundant number, since it is smaller than the sum of its proper divisors (101007288).

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

45841200 is a wasteful number, since it uses less digits than its factorization.

45841200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38222 (or 38211 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 45841200 is about 6770.6129707730. The cubic root of 45841200 is about 357.8920015878.

The spelling of 45841200 in words is "forty-five million, eight hundred forty-one thousand, two hundred".