253890000 has 600 divisors, whose sum is σ = 1128038912. Its totient is φ = 51840000.

The previous prime is 253889959. The next prime is 253890029. The reversal of 253890000 is 98352.

It is a tau number, because it is divible by the number of its divisors (600).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8189985 + ... + 8190015.

Almost surely, 2^253890000 is an apocalyptic number.

253890000 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 253890000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564019456).

253890000 is an abundant number, since it is smaller than the sum of its proper divisors (874148912).

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

253890000 is a wasteful number, since it uses less digits than its factorization.

253890000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 61 counting only the distinct ones).

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

The square root of 253890000 is about 15933.9260698674. The cubic root of 253890000 is about 633.2111183074.

The spelling of 253890000 in words is "two hundred fifty-three million, eight hundred ninety thousand".