45724800 has 192 divisors, whose sum is σ = 164676960. Its totient is φ = 11059200.

The previous prime is 45724787. The next prime is 45724817. The reversal of 45724800 is 842754.

It is a tau number, because it is divible by the number of its divisors (192).

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

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, 105384 + ... + 105816.

Almost surely, 2^45724800 is an apocalyptic number.

45724800 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 45724800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82338480).

45724800 is an abundant number, since it is smaller than the sum of its proper divisors (118952160).

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

45724800 is a wasteful number, since it uses less digits than its factorization.

45724800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 45724800 is about 6762.0115350390. The cubic root of 45724800 is about 357.5888249790.

The spelling of 45724800 in words is "forty-five million, seven hundred twenty-four thousand, eight hundred".