174800052 has 288 divisors, whose sum is σ = 586051200. Its totient is φ = 44706816.

The previous prime is 174800047. The next prime is 174800071. The reversal of 174800052 is 250008471.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 174799989 and 174800025.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2608923 + ... + 2608989.

It is an arithmetic number, because the mean of its divisors is an integer number (2034900).

Almost surely, 2^174800052 is an apocalyptic number.

174800052 is a gapful number since it is divisible by the number (12) 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 174800052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293025600).

174800052 is an abundant number, since it is smaller than the sum of its proper divisors (411251148).

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

174800052 is a wasteful number, since it uses less digits than its factorization.

174800052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 174800052 is about 13221.1970713699. The cubic root of 174800052 is about 559.1313616504.

The spelling of 174800052 in words is "one hundred seventy-four million, eight hundred thousand, fifty-two".