45748800 has 210 divisors, whose sum is σ = 168637458. Its totient is φ = 12165120.

The previous prime is 45748793. The next prime is 45748831. The reversal of 45748800 is 884754.

45748800 is a `hidden beast` number, since 4 + 574 + 8 + 80 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1871424 + 43877376 = 1368^2 + 6624^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 129424 + ... + 129776.

Almost surely, 2^45748800 is an apocalyptic number.

45748800 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 45748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84318729).

45748800 is an abundant number, since it is smaller than the sum of its proper divisors (122888658).

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

45748800 is a wasteful number, since it uses less digits than its factorization.

45748800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 45748800 is about 6763.7859221001. The cubic root of 45748800 is about 357.6513776908.

The spelling of 45748800 in words is "forty-five million, seven hundred forty-eight thousand, eight hundred".