455005406160 has 160 divisors (see below), whose sum is σ = 1567456997760. Its totient is φ = 121318041600.

The previous prime is 455005406143. The next prime is 455005406189. The reversal of 455005406160 is 61604500554.

455005406160 is a `hidden beast` number, since 4 + 5 + 50 + 0 + 540 + 6 + 1 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 30083400 + ... + 30098520.

It is an arithmetic number, because the mean of its divisors is an integer number (9796606236).

Almost surely, 2^455005406160 is an apocalyptic number.

455005406160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

455005406160 is an abundant number, since it is smaller than the sum of its proper divisors (1112451591600).

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

455005406160 is a wasteful number, since it uses less digits than its factorization.

455005406160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29074 (or 29062 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 455005406160 in words is "four hundred fifty-five billion, five million, four hundred six thousand, one hundred sixty".