253978200 has 192 divisors, whose sum is σ = 999936000. Its totient is φ = 58043520.

The previous prime is 253978199. The next prime is 253978217. The reversal of 253978200 is 2879352.

It is a happy number.

253978200 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34441 + ... + 41159.

It is an arithmetic number, because the mean of its divisors is an integer number (5208000).

Almost surely, 2^253978200 is an apocalyptic number.

253978200 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 253978200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499968000).

253978200 is an abundant number, since it is smaller than the sum of its proper divisors (745957800).

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

253978200 is a wasteful number, since it uses less digits than its factorization.

253978200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6751 (or 6736 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 253978200 is about 15936.6935090062. The cubic root of 253978200 is about 633.2844345134.

The spelling of 253978200 in words is "two hundred fifty-three million, nine hundred seventy-eight thousand, two hundred".