455742261520 has 400 divisors, whose sum is σ = 1338704786160. Its totient is φ = 143424884736.

The previous prime is 455742261517. The next prime is 455742261529. The reversal of 455742261520 is 25162247554.

It can be written as a sum of positive squares in 8 ways, for example, as 84860944 + 455657400576 = 9212^2 + 675024^2 .

It is not an unprimeable number, because it can be changed into a prime (455742261529) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 571821762 + ... + 571822558.

Almost surely, 2^455742261520 is an apocalyptic number.

455742261520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455742261520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669352393080).

455742261520 is an abundant number, since it is smaller than the sum of its proper divisors (882962524640).

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

455742261520 is a wasteful number, since it uses less digits than its factorization.

455742261520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 43.

The spelling of 455742261520 in words is "four hundred fifty-five billion, seven hundred forty-two million, two hundred sixty-one thousand, five hundred twenty".