253866496 has 80 divisors (see below), whose sum is σ = 559589184. Its totient is φ = 114315264.

The previous prime is 253866463. The next prime is 253866497. The reversal of 253866496 is 694668352.

It is not an unprimeable number, because it can be changed into a prime (253866497) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 285765 + ... + 286651.

Almost surely, 2^253866496 is an apocalyptic number.

253866496 is a gapful number since it is divisible by the number (26) 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 253866496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279794592).

253866496 is an abundant number, since it is smaller than the sum of its proper divisors (305722688).

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

253866496 is an equidigital number, since it uses as much as digits as its factorization.

253866496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961 (or 945 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 49.

The square root of 253866496 is about 15933.1885070127. The cubic root of 253866496 is about 633.1915777538.

The spelling of 253866496 in words is "two hundred fifty-three million, eight hundred sixty-six thousand, four hundred ninety-six".