455819420736 has 105 divisors (see below), whose sum is σ = 1351335670069. Its totient is φ = 151923603456.

The previous prime is 455819420723. The next prime is 455819420741. The reversal of 455819420736 is 637024918554.

It is a happy number.

The square root of 455819420736 is 675144.

It is a perfect power (a square), and thus also a powerful number.

455819420736 is a `hidden beast` number, since 4 + 5 + 581 + 9 + 4 + 20 + 7 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 49979073600 + 405840347136 = 223560^2 + 637056^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 48605680 + ... + 48615056.

It is a 1-persistent number, because it is pandigital, but 2⋅455819420736 = 911638841472 is not.

Almost surely, 2^455819420736 is an apocalyptic number.

455819420736 is the 675144-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455819420736

455819420736 is an abundant number, since it is smaller than the sum of its proper divisors (895516249333).

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

455819420736 is an frugal number, since it uses more digits than its factorization.

455819420736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18778 (or 9382 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 455819420736 in words is "four hundred fifty-five billion, eight hundred nineteen million, four hundred twenty thousand, seven hundred thirty-six".