253846640 has 80 divisors (see below), whose sum is σ = 610675200. Its totient is φ = 98058240.

The previous prime is 253846639. The next prime is 253846643. The reversal of 253846640 is 46648352.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 253846594 and 253846603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253846643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 565136 + ... + 565584.

It is an arithmetic number, because the mean of its divisors is an integer number (7633440).

Almost surely, 2^253846640 is an apocalyptic number.

253846640 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 253846640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305337600).

253846640 is an abundant number, since it is smaller than the sum of its proper divisors (356828560).

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

253846640 is a wasteful number, since it uses less digits than its factorization.

253846640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 38.

The square root of 253846640 is about 15932.5653929303. The cubic root of 253846640 is about 633.1750691033.

The spelling of 253846640 in words is "two hundred fifty-three million, eight hundred forty-six thousand, six hundred forty".