253215000 has 240 divisors, whose sum is σ = 910114920. Its totient is φ = 63360000.

The previous prime is 253214993. The next prime is 253215031. The reversal of 253215000 is 512352.

It is a happy number.

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

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 59 ways as a sum of consecutive naturals, for example, 764835 + ... + 765165.

Almost surely, 2^253215000 is an apocalyptic number.

253215000 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 253215000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455057460).

253215000 is an abundant number, since it is smaller than the sum of its proper divisors (656899920).

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

253215000 is a wasteful number, since it uses less digits than its factorization.

253215000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 253215000 is about 15912.7307524510. The cubic root of 253215000 is about 632.6494618850.

Adding to 253215000 its reverse (512352), we get a palindrome (253727352).

The spelling of 253215000 in words is "two hundred fifty-three million, two hundred fifteen thousand".