253352000 has 112 divisors (see below), whose sum is σ = 684702720. Its totient is φ = 92096000.

The previous prime is 253351993. The next prime is 253352009. The reversal of 253352000 is 253352.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253352009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86561 + ... + 89439.

Almost surely, 2^253352000 is an apocalyptic number.

253352000 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 253352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342351360).

253352000 is an abundant number, since it is smaller than the sum of its proper divisors (431350720).

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

253352000 is a wasteful number, since it uses less digits than its factorization.

253352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2917 (or 2897 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 20.

The square root of 253352000 is about 15917.0348997544. The cubic root of 253352000 is about 632.7635379991.

253352000 divided by its reverse (253352) gives a cube (1000 = 10³).

It can be divided in two parts, 253 and 352000, that added together give a palindrome (352253).

The spelling of 253352000 in words is "two hundred fifty-three million, three hundred fifty-two thousand".