455789160 has 256 divisors, whose sum is σ = 1617408000. Its totient is φ = 113921280.

The previous prime is 455789153. The next prime is 455789161. The reversal of 455789160 is 61987554.

455789160 is a `hidden beast` number, since 4 + 557 + 8 + 91 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (455789161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1465405 + ... + 1465715.

It is an arithmetic number, because the mean of its divisors is an integer number (6318000).

Almost surely, 2^455789160 is an apocalyptic number.

455789160 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 455789160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808704000).

455789160 is an abundant number, since it is smaller than the sum of its proper divisors (1161618840).

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

455789160 is a wasteful number, since it uses less digits than its factorization.

455789160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 455789160 is about 21349.2191894692. The cubic root of 455789160 is about 769.5815796079.

The spelling of 455789160 in words is "four hundred fifty-five million, seven hundred eighty-nine thousand, one hundred sixty".