45704400 has 120 divisors (see below), whose sum is σ = 167352384. Its totient is φ = 10444800.

The previous prime is 45704387. The next prime is 45704401. The reversal of 45704400 is 440754.

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 (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45704401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5680 + ... + 11120.

Almost surely, 2^45704400 is an apocalyptic number.

45704400 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 45704400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83676192).

45704400 is an abundant number, since it is smaller than the sum of its proper divisors (121647984).

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

45704400 is a wasteful number, since it uses less digits than its factorization.

45704400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5469 (or 5458 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 45704400 is about 6760.5029398707. The cubic root of 45704400 is about 357.5356379619.

The spelling of 45704400 in words is "forty-five million, seven hundred four thousand, four hundred".