252428700 has 72 divisors (see below), whose sum is σ = 739674880. Its totient is φ = 66456000.

The previous prime is 252428651. The next prime is 252428707. The reversal of 252428700 is 7824252.

252428700 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 (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252428707) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18375 + ... + 29025.

Almost surely, 2^252428700 is an apocalyptic number.

252428700 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 252428700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369837440).

252428700 is an abundant number, since it is smaller than the sum of its proper divisors (487246180).

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

252428700 is a wasteful number, since it uses less digits than its factorization.

252428700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10747 (or 10740 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 252428700 is about 15888.0049093648. The cubic root of 252428700 is about 631.9939345409.

The spelling of 252428700 in words is "two hundred fifty-two million, four hundred twenty-eight thousand, seven hundred".