455279045760 has 3584 divisors, whose sum is σ = 2311773696000. Its totient is φ = 82771476480.

The previous prime is 455279045759. The next prime is 455279045821. The reversal of 455279045760 is 67540972554.

It is a happy number.

455279045760 is a `hidden beast` number, since 4 + 5 + 527 + 9 + 0 + 4 + 57 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 455279045697 and 455279045706.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 15699277426 + ... + 15699277454.

Almost surely, 2^455279045760 is an apocalyptic number.

455279045760 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 455279045760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1155886848000).

455279045760 is an abundant number, since it is smaller than the sum of its proper divisors (1856494650240).

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

455279045760 is a wasteful number, since it uses less digits than its factorization.

455279045760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 54.

The spelling of 455279045760 in words is "four hundred fifty-five billion, two hundred seventy-nine million, forty-five thousand, seven hundred sixty".