252174384 has 450 divisors, whose sum is σ = 977525604. Its totient is φ = 62052480.

The previous prime is 252174383. The next prime is 252174389. The reversal of 252174384 is 483471252.

It is a happy number.

252174384 is a `hidden beast` number, since 2 + 5 + 217 + 438 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (53760) is a multiple of the sum of its prime divisors (42).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (252174383) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 13272327 + ... + 13272345.

Almost surely, 2^252174384 is an apocalyptic number.

252174384 is a gapful number since it is divisible by the number (24) 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 252174384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488762802).

252174384 is an abundant number, since it is smaller than the sum of its proper divisors (725351220).

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

252174384 is a wasteful number, since it uses less digits than its factorization.

252174384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 42 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 252174384 is about 15879.9994962217. Note that the first 3 decimals coincide. The cubic root of 252174384 is about 631.7816235324.

The spelling of 252174384 in words is "two hundred fifty-two million, one hundred seventy-four thousand, three hundred eighty-four".