253002000 has 160 divisors (see below), whose sum is σ = 824054400. Its totient is φ = 66777600.

The previous prime is 253001999. The next prime is 253002023. The reversal of 253002000 is 200352.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 893859 + ... + 894141.

It is an arithmetic number, because the mean of its divisors is an integer number (5150340).

Almost surely, 2^253002000 is an apocalyptic number.

253002000 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 253002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412027200).

253002000 is an abundant number, since it is smaller than the sum of its proper divisors (571052400).

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

253002000 is a wasteful number, since it uses less digits than its factorization.

253002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 253002000 is about 15906.0365899240. The cubic root of 253002000 is about 632.4720209259.

Adding to 253002000 its reverse (200352), we get a palindrome (253202352).

The spelling of 253002000 in words is "two hundred fifty-three million, two thousand".