252294000 has 160 divisors (see below), whose sum is σ = 929750016. Its totient is φ = 57657600.

The previous prime is 252293999. The next prime is 252294013. The reversal of 252294000 is 492252.

252294000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38997 + ... + 45003.

Almost surely, 2^252294000 is an apocalyptic number.

252294000 is a gapful number since it is divisible by the number (20) 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 252294000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464875008).

252294000 is an abundant number, since it is smaller than the sum of its proper divisors (677456016).

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

252294000 is a wasteful number, since it uses less digits than its factorization.

252294000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6040 (or 6024 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 252294000 is about 15883.7652966795. The cubic root of 252294000 is about 631.8815005089.

It can be divided in two parts, 252 and 294000, that multiplied together give a cube (74088000 = 420³).

The spelling of 252294000 in words is "two hundred fifty-two million, two hundred ninety-four thousand".