253438416 has 320 divisors, whose sum is σ = 957081600. Its totient is φ = 62208000.

The previous prime is 253438379. The next prime is 253438441. The reversal of 253438416 is 614834352.

253438416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 631816 + ... + 632216.

It is an arithmetic number, because the mean of its divisors is an integer number (2990880).

Almost surely, 2^253438416 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 253438416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478540800).

253438416 is an abundant number, since it is smaller than the sum of its proper divisors (703643184).

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

253438416 is a wasteful number, since it uses less digits than its factorization.

253438416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 443 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 253438416 is about 15919.7492442563. The cubic root of 253438416 is about 632.8354730645.

The spelling of 253438416 in words is "two hundred fifty-three million, four hundred thirty-eight thousand, four hundred sixteen".