252195840 has 264 divisors, whose sum is σ = 943306728. Its totient is φ = 61931520.

The previous prime is 252195787. The next prime is 252195841. The reversal of 252195840 is 48591252.

252195840 is a `hidden beast` number, since 2 + 521 + 95 + 8 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13307904 + 238887936 = 3648^2 + 15456^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 252195795 and 252195804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252195841) 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, 598830 + ... + 599250.

Almost surely, 2^252195840 is an apocalyptic number.

252195840 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 252195840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471653364).

252195840 is an abundant number, since it is smaller than the sum of its proper divisors (691110888).

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

252195840 is a wasteful number, since it uses less digits than its factorization.

252195840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 252195840 is about 15880.6750486243. The cubic root of 252195840 is about 631.7995411891.

The spelling of 252195840 in words is "two hundred fifty-two million, one hundred ninety-five thousand, eight hundred forty".