253665000 has 160 divisors (see below), whose sum is σ = 880968000. Its totient is φ = 67608000.

The previous prime is 253664993. The next prime is 253665031. The reversal of 253665000 is 566352.

253665000 is a `hidden beast` number, since 2 + 5 + 3 + 6 + 650 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 134061 + ... + 135939.

It is an arithmetic number, because the mean of its divisors is an integer number (5506050).

Almost surely, 2^253665000 is an apocalyptic number.

253665000 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 253665000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440484000).

253665000 is an abundant number, since it is smaller than the sum of its proper divisors (627303000).

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

253665000 is a wasteful number, since it uses less digits than its factorization.

253665000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1914 (or 1889 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 253665000 is about 15926.8640981205. The cubic root of 253665000 is about 633.0240102301.

The spelling of 253665000 in words is "two hundred fifty-three million, six hundred sixty-five thousand".