253273776 has 80 divisors (see below), whose sum is σ = 752928000. Its totient is φ = 71864064.

The previous prime is 253273747. The next prime is 253273777. The reversal of 253273776 is 677372352.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (253273777) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 47535 + ... + 52593.

It is an arithmetic number, because the mean of its divisors is an integer number (9411600).

Almost surely, 2^253273776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253273776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376464000).

253273776 is an abundant number, since it is smaller than the sum of its proper divisors (499654224).

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

253273776 is a wasteful number, since it uses less digits than its factorization.

253273776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5226 (or 5220 counting only the distinct ones).

The product of its digits is 370440, while the sum is 42.

The square root of 253273776 is about 15914.5774684721. The cubic root of 253273776 is about 632.6984080744.

The spelling of 253273776 in words is "two hundred fifty-three million, two hundred seventy-three thousand, seven hundred seventy-six".