252040320 has 576 divisors, whose sum is σ = 1088380800. Its totient is φ = 53415936.

The previous prime is 252040307. The next prime is 252040333. The reversal of 252040320 is 23040252.

It is an interprime number because it is at equal distance from previous prime (252040307) and next prime (252040333).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 252040293 and 252040302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5362537 + ... + 5362583.

It is an arithmetic number, because the mean of its divisors is an integer number (1889550).

Almost surely, 2^252040320 is an apocalyptic number.

252040320 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 252040320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544190400).

252040320 is an abundant number, since it is smaller than the sum of its proper divisors (836340480).

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

252040320 is a wasteful number, since it uses less digits than its factorization.

252040320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 252040320 is about 15875.7777762225. Note that the first 5 decimals coincide. The cubic root of 252040320 is about 631.6696452203.

Adding to 252040320 its reverse (23040252), we get a palindrome (275080572).

It can be divided in two parts, 2520 and 40320, that multiplied together give a square (101606400 = 10080²).

The spelling of 252040320 in words is "two hundred fifty-two million, forty thousand, three hundred twenty".