253941600 has 144 divisors (see below), whose sum is σ = 901817280. Its totient is φ = 61555200.

The previous prime is 253941587. The next prime is 253941601. The reversal of 253941600 is 6149352.

253941600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253941601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21591 + ... + 31209.

It is an arithmetic number, because the mean of its divisors is an integer number (6262620).

Almost surely, 2^253941600 is an apocalyptic number.

253941600 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 253941600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450908640).

253941600 is an abundant number, since it is smaller than the sum of its proper divisors (647875680).

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

253941600 is a wasteful number, since it uses less digits than its factorization.

253941600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9653 (or 9640 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 253941600 is about 15935.5451742324. The cubic root of 253941600 is about 633.2540128423.

It can be divided in two parts, 253941 and 600, that added together give a triangular number (254541 = T₇₁₃).

The spelling of 253941600 in words is "two hundred fifty-three million, nine hundred forty-one thousand, six hundred".