253320000 has 140 divisors (see below), whose sum is σ = 837931776. Its totient is φ = 67520000.

The previous prime is 253319893. The next prime is 253320013. The reversal of 253320000 is 23352.

It is a hoax number, since the sum of its digits (15) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 118945 + ... + 121055.

Almost surely, 2^253320000 is an apocalyptic number.

253320000 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 253320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418965888).

253320000 is an abundant number, since it is smaller than the sum of its proper divisors (584611776).

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

253320000 is an equidigital number, since it uses as much as digits as its factorization.

253320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2146 (or 2121 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 253320000 is about 15916.0296556648. The cubic root of 253320000 is about 632.7368961651.

Adding to 253320000 its reverse (23352), we get a palindrome (253343352).

The spelling of 253320000 in words is "two hundred fifty-three million, three hundred twenty thousand".