252954240 has 512 divisors, whose sum is σ = 1057536000. Its totient is φ = 49889280.

The previous prime is 252954227. The next prime is 252954241. The reversal of 252954240 is 42459252.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252954241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4287331 + ... + 4287389.

It is an arithmetic number, because the mean of its divisors is an integer number (2065500).

Almost surely, 2^252954240 is an apocalyptic number.

252954240 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 252954240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528768000).

252954240 is an abundant number, since it is smaller than the sum of its proper divisors (804581760).

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

252954240 is a wasteful number, since it uses less digits than its factorization.

252954240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 252954240 is about 15904.5352022623. The cubic root of 252954240 is about 632.4322204966.

The spelling of 252954240 in words is "two hundred fifty-two million, nine hundred fifty-four thousand, two hundred forty".