45174400 has 96 divisors (see below), whose sum is σ = 117626400. Its totient is φ = 17095680.

The previous prime is 45174383. The next prime is 45174401. The reversal of 45174400 is 447154.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45174401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60429 + ... + 61171.

It is an arithmetic number, because the mean of its divisors is an integer number (1225275).

Almost surely, 2^45174400 is an apocalyptic number.

45174400 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 45174400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58813200).

45174400 is an abundant number, since it is smaller than the sum of its proper divisors (72452000).

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

45174400 is a wasteful number, since it uses less digits than its factorization.

45174400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 25.

The square root of 45174400 is about 6721.1903707602. The cubic root of 45174400 is about 356.1482360408.

The spelling of 45174400 in words is "forty-five million, one hundred seventy-four thousand, four hundred".