252254688 has 96 divisors (see below), whose sum is σ = 781240320. Its totient is φ = 69742080.

The previous prime is 252254633. The next prime is 252254689. The reversal of 252254688 is 886452252.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252254689) 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, 14778 + ... + 26886.

It is an arithmetic number, because the mean of its divisors is an integer number (8137920).

Almost surely, 2^252254688 is an apocalyptic number.

252254688 is a gapful number since it is divisible by the number (28) 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 252254688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390620160).

252254688 is an abundant number, since it is smaller than the sum of its proper divisors (528985632).

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

252254688 is a wasteful number, since it uses less digits than its factorization.

252254688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12160 (or 12152 counting only the distinct ones).

The product of its digits is 307200, while the sum is 42.

The square root of 252254688 is about 15882.5277585150. The cubic root of 252254688 is about 631.8486792556.

The spelling of 252254688 in words is "two hundred fifty-two million, two hundred fifty-four thousand, six hundred eighty-eight".