455076857760 has 384 divisors, whose sum is σ = 1711260794880. Its totient is φ = 99453505536.

The previous prime is 455076857663. The next prime is 455076857791. The reversal of 455076857760 is 67758670554.

455076857760 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 455076857694 and 455076857703.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10013649 + ... + 10058991.

It is an arithmetic number, because the mean of its divisors is an integer number (4456408320).

Almost surely, 2^455076857760 is an apocalyptic number.

455076857760 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 455076857760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855630397440).

455076857760 is an abundant number, since it is smaller than the sum of its proper divisors (1256183937120).

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

455076857760 is a wasteful number, since it uses less digits than its factorization.

455076857760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45500 (or 45492 counting only the distinct ones).

The product of its (nonzero) digits is 49392000, while the sum is 60.

The spelling of 455076857760 in words is "four hundred fifty-five billion, seventy-six million, eight hundred fifty-seven thousand, seven hundred sixty".