45499200 has 84 divisors (see below), whose sum is σ = 149291040. Its totient is φ = 12131840.

The previous prime is 45499193. The next prime is 45499211. The reversal of 45499200 is 299454.

It is a congruent number.

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, 61 + ... + 9539.

Almost surely, 2^45499200 is an apocalyptic number.

45499200 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 45499200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74645520).

45499200 is an abundant number, since it is smaller than the sum of its proper divisors (103791840).

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

45499200 is a wasteful number, since it uses less digits than its factorization.

45499200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9504 (or 9489 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 45499200 is about 6745.3094814100. The cubic root of 45499200 is about 356.9997567653. Note that the first 3 decimals are identical.

The spelling of 45499200 in words is "forty-five million, four hundred ninety-nine thousand, two hundred".