253677440 has 64 divisors (see below), whose sum is σ = 608376960. Its totient is φ = 101148672.

The previous prime is 253677353. The next prime is 253677443. The reversal of 253677440 is 44776352.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 253677394 and 253677403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253677443) 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, 388154 + ... + 388806.

It is an arithmetic number, because the mean of its divisors is an integer number (9505890).

Almost surely, 2^253677440 is an apocalyptic number.

253677440 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 253677440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304188480).

253677440 is an abundant number, since it is smaller than the sum of its proper divisors (354699520).

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

253677440 is an equidigital number, since it uses as much as digits as its factorization.

253677440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 38.

The square root of 253677440 is about 15927.2546284663. The cubic root of 253677440 is about 633.0343581167.

The spelling of 253677440 in words is "two hundred fifty-three million, six hundred seventy-seven thousand, four hundred forty".