45490800 has 120 divisors (see below), whose sum is σ = 147240576. Its totient is φ = 12005120.

The previous prime is 45490787. The next prime is 45490891. The reversal of 45490800 is 809454.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 200287 + ... + 200513.

Almost surely, 2^45490800 is an apocalyptic number.

45490800 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 45490800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73620288).

45490800 is an abundant number, since it is smaller than the sum of its proper divisors (101749776).

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

45490800 is a wasteful number, since it uses less digits than its factorization.

45490800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 45490800 is about 6744.6867977690. The cubic root of 45490800 is about 356.9777858111.

The spelling of 45490800 in words is "forty-five million, four hundred ninety thousand, eight hundred".