252014000 has 160 divisors (see below), whose sum is σ = 713097216. Its totient is φ = 84345600.

The previous prime is 252013999. The next prime is 252014027. The reversal of 252014000 is 410252.

252014000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×252014000² = 127022112392000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 657809 + ... + 658191.

Almost surely, 2^252014000 is an apocalyptic number.

252014000 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 252014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356548608).

252014000 is an abundant number, since it is smaller than the sum of its proper divisors (461083216).

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

252014000 is a wasteful number, since it uses less digits than its factorization.

252014000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 252014000 is about 15874.9488188151. The cubic root of 252014000 is about 631.6476565113.

Adding to 252014000 its reverse (410252), we get a palindrome (252424252).

The spelling of 252014000 in words is "two hundred fifty-two million, fourteen thousand".