455420736 has 84 divisors (see below), whose sum is σ = 1317121572. Its totient is φ = 150441984.

The previous prime is 455420731. The next prime is 455420761. The reversal of 455420736 is 637024554.

455420736 is a `hidden beast` number, since 45 + 542 + 0 + 73 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 58614336 + 396806400 = 7656^2 + 19920^2 .

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

It is a zygodrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 455420736.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455420731) 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, 61590 + ... + 68586.

Almost surely, 2^455420736 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 455420736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658560786).

455420736 is an abundant number, since it is smaller than the sum of its proper divisors (861700836).

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

455420736 is a wasteful number, since it uses less digits than its factorization.

455420736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7128 (or 7115 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 455420736 is about 21340.5889328294. The cubic root of 455420736 is about 769.3741673669.

The spelling of 455420736 in words is "four hundred fifty-five million, four hundred twenty thousand, seven hundred thirty-six".