252123840 has 280 divisors, whose sum is σ = 916119072. Its totient is φ = 65802240.

The previous prime is 252123811. The next prime is 252123841. The reversal of 252123840 is 48321252.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (252123841) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1840252 + ... + 1840388.

Almost surely, 2^252123840 is an apocalyptic number.

252123840 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 252123840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458059536).

252123840 is an abundant number, since it is smaller than the sum of its proper divisors (663995232).

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

252123840 is a wasteful number, since it uses less digits than its factorization.

252123840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 252123840 is about 15878.4079806510. The cubic root of 252123840 is about 631.7394108070.

The spelling of 252123840 in words is "two hundred fifty-two million, one hundred twenty-three thousand, eight hundred forty".