252426000 has 80 divisors (see below), whose sum is σ = 813840768. Its totient is φ = 67312000.

The previous prime is 252425993. The next prime is 252426007. The reversal of 252426000 is 624252.

252426000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (252425993) and next prime (252426007).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (252426007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15036 + ... + 27035.

Almost surely, 2^252426000 is an apocalyptic number.

252426000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252426000 is an abundant number, since it is smaller than the sum of its proper divisors (561414768).

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

252426000 is a wasteful number, since it uses less digits than its factorization.

252426000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42097 (or 42081 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 252426000 is about 15887.9199393753. The cubic root of 252426000 is about 631.9916812450.

The spelling of 252426000 in words is "two hundred fifty-two million, four hundred twenty-six thousand".