253944768 has 224 divisors, whose sum is σ = 851489280. Its totient is φ = 64880640.

The previous prime is 253944751. The next prime is 253944773. The reversal of 253944768 is 867449352.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (1451520) is a multiple of the sum of its prime factors (315).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1315680 + ... + 1315872.

Almost surely, 2^253944768 is an apocalyptic number.

253944768 is a gapful number since it is divisible by the number (28) 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 253944768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425744640).

253944768 is an abundant number, since it is smaller than the sum of its proper divisors (597544512).

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

253944768 is a wasteful number, since it uses less digits than its factorization.

253944768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 305 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 48.

The square root of 253944768 is about 15935.6445743497. The cubic root of 253944768 is about 633.2566461779.

The spelling of 253944768 in words is "two hundred fifty-three million, nine hundred forty-four thousand, seven hundred sixty-eight".