455812416 has 84 divisors (see below), whose sum is σ = 1338439284. Its totient is φ = 148224000.

The previous prime is 455812397. The next prime is 455812421. The reversal of 455812416 is 614218554.

It is a happy number.

455812416 is a `hidden beast` number, since 45 + 581 + 24 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 118722816 + 337089600 = 10896^2 + 18360^2 .

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, 13966 + ... + 33266.

It is an arithmetic number, because the mean of its divisors is an integer number (15933801).

Almost surely, 2^455812416 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 455812416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669219642).

455812416 is an abundant number, since it is smaller than the sum of its proper divisors (882626868).

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

455812416 is a wasteful number, since it uses less digits than its factorization.

455812416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19360 (or 19347 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 455812416 is about 21349.7638394433. The cubic root of 455812416 is about 769.5946683241.

The spelling of 455812416 in words is "four hundred fifty-five million, eight hundred twelve thousand, four hundred sixteen".