253990200 has 192 divisors, whose sum is σ = 857489760. Its totient is φ = 61931520.

The previous prime is 253990199. The next prime is 253990201. The reversal of 253990200 is 2099352.

253990200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (253990199) and next prime (253990201).

It is a super-2 number, since 2×253990200² = 129022043392080000, which contains 22 as substring.

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 (253990201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 377064 + ... + 377736.

Almost surely, 2^253990200 is an apocalyptic number.

253990200 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 253990200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428744880).

253990200 is an abundant number, since it is smaller than the sum of its proper divisors (603499560).

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

253990200 is a wasteful number, since it uses less digits than its factorization.

253990200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 253990200 is about 15937.0699941991. The cubic root of 253990200 is about 633.2944081956.

The spelling of 253990200 in words is "two hundred fifty-three million, nine hundred ninety thousand, two hundred".