253638000 has 640 divisors, whose sum is σ = 1151354880. Its totient is φ = 51840000.

The previous prime is 253637983. The next prime is 253638017. The reversal of 253638000 is 836352.

253638000 is a `hidden beast` number, since 25 + 3 + 638 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (253637983) and next prime (253638017).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4157970 + ... + 4158030.

It is an arithmetic number, because the mean of its divisors is an integer number (1798992).

Almost surely, 2^253638000 is an apocalyptic number.

253638000 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 253638000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575677440).

253638000 is an abundant number, since it is smaller than the sum of its proper divisors (897716880).

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

253638000 is a wasteful number, since it uses less digits than its factorization.

253638000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 253638000 is about 15926.0164510778. The cubic root of 253638000 is about 633.0015498266.

The spelling of 253638000 in words is "two hundred fifty-three million, six hundred thirty-eight thousand".