253980000 has 360 divisors, whose sum is σ = 967134168. Its totient is φ = 62976000.

The previous prime is 253979987. The next prime is 253980031. The reversal of 253980000 is 89352.

253980000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3059959 + ... + 3060041.

Almost surely, 2^253980000 is an apocalyptic number.

253980000 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 253980000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483567084).

253980000 is an abundant number, since it is smaller than the sum of its proper divisors (713154168).

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

253980000 is a wasteful number, since it uses less digits than its factorization.

253980000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 253980000 is about 15936.7499823521. The cubic root of 253980000 is about 633.2859305857.

It can be divided in two parts, 25 and 3980000, that added together give a square (3980025 = 1995²).

The spelling of 253980000 in words is "two hundred fifty-three million, nine hundred eighty thousand".