252454140 has 144 divisors (see below), whose sum is σ = 815461920. Its totient is φ = 63037440.

The previous prime is 252454117. The next prime is 252454157. The reversal of 252454140 is 41454252.

252454140 is a `hidden beast` number, since 2 + 5 + 245 + 414 + 0 = 666.

252454140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 331360 + ... + 332120.

It is an arithmetic number, because the mean of its divisors is an integer number (5662930).

Almost surely, 2^252454140 is an apocalyptic number.

252454140 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 252454140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407730960).

252454140 is an abundant number, since it is smaller than the sum of its proper divisors (563007780).

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

252454140 is a wasteful number, since it uses less digits than its factorization.

252454140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 252454140 is about 15888.8054931766. The cubic root of 252454140 is about 632.0151648073.

The spelling of 252454140 in words is "two hundred fifty-two million, four hundred fifty-four thousand, one hundred forty".