253745664 has 120 divisors (see below), whose sum is σ = 707490432. Its totient is φ = 80732160.

The previous prime is 253745663. The next prime is 253745669. The reversal of 253745664 is 466547352.

253745664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (253745663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3475932 + ... + 3476004.

Almost surely, 2^253745664 is an apocalyptic number.

253745664 is a gapful number since it is divisible by the number (24) 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 253745664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353745216).

253745664 is an abundant number, since it is smaller than the sum of its proper divisors (453744768).

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

253745664 is an frugal number, since it uses more digits than its factorization.

253745664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 109 counting only the distinct ones).

The product of its digits is 604800, while the sum is 42.

The square root of 253745664 is about 15929.3962220795. The cubic root of 253745664 is about 633.0911024412.

The spelling of 253745664 in words is "two hundred fifty-three million, seven hundred forty-five thousand, six hundred sixty-four".