45174300 has 72 divisors (see below), whose sum is σ = 136407936. Its totient is φ = 11520960.

The previous prime is 45174293. The next prime is 45174301. The reversal of 45174300 is 347154.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45174301) 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, 3627 + ... + 10173.

Almost surely, 2^45174300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45174300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68203968).

45174300 is an abundant number, since it is smaller than the sum of its proper divisors (91233636).

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

45174300 is a wasteful number, since it uses less digits than its factorization.

45174300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6587 (or 6580 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 45174300 is about 6721.1829315977. The cubic root of 45174300 is about 356.1479732456.

It can be divided in two parts, 45 and 174300, that added together give a triangular number (174345 = T₅₉₀).

The spelling of 45174300 in words is "forty-five million, one hundred seventy-four thousand, three hundred".