253219408 has 80 divisors (see below), whose sum is σ = 550964736. Its totient is φ = 111951360.

The previous prime is 253219381. The next prime is 253219457. The reversal of 253219408 is 804912352.

253219408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1115391 + ... + 1115617.

Almost surely, 2^253219408 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 253219408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275482368).

253219408 is an abundant number, since it is smaller than the sum of its proper divisors (297745328).

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

253219408 is a wasteful number, since it uses less digits than its factorization.

253219408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 253219408 is about 15912.8692573024. The cubic root of 253219408 is about 632.6531329454.

The spelling of 253219408 in words is "two hundred fifty-three million, two hundred nineteen thousand, four hundred eight".