254428416 has 108 divisors (see below), whose sum is σ = 800348640. Its totient is φ = 77091840.

The previous prime is 254428379. The next prime is 254428523. The reversal of 254428416 is 614824452.

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 11 ways as a sum of consecutive naturals, for example, 20325 + ... + 30363.

Almost surely, 2^254428416 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 254428416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400174320).

254428416 is an abundant number, since it is smaller than the sum of its proper divisors (545920224).

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

254428416 is a wasteful number, since it uses less digits than its factorization.

254428416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10072 (or 10055 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 254428416 is about 15950.8123931040. The cubic root of 254428416 is about 633.6584121232.

The spelling of 254428416 in words is "two hundred fifty-four million, four hundred twenty-eight thousand, four hundred sixteen".