455291514240 has 256 divisors, whose sum is σ = 1499139532800. Its totient is φ = 117409628160.

The previous prime is 455291514233. The next prime is 455291514253. The reversal of 455291514240 is 42415192554.

It is a junction number, because it is equal to n+sod(n) for n = 455291514192 and 455291514201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162428679 + ... + 162431481.

It is an arithmetic number, because the mean of its divisors is an integer number (5856013800).

Almost surely, 2^455291514240 is an apocalyptic number.

455291514240 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 455291514240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749569766400).

455291514240 is an abundant number, since it is smaller than the sum of its proper divisors (1043848018560).

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

455291514240 is a wasteful number, since it uses less digits than its factorization.

455291514240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5585 (or 5573 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 42.

The spelling of 455291514240 in words is "four hundred fifty-five billion, two hundred ninety-one million, five hundred fourteen thousand, two hundred forty".