455835156480 has 768 divisors, whose sum is σ = 1744531214400. Its totient is φ = 109188218880.

The previous prime is 455835156467. The next prime is 455835156541. The reversal of 455835156480 is 84651538554.

455835156480 is a `hidden beast` number, since 4 + 5 + 5 + 8 + 3 + 5 + 156 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-3 number, since 3×455835156480³ (a number of 36 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2546565031 + ... + 2546565209.

Almost surely, 2^455835156480 is an apocalyptic number.

455835156480 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 455835156480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872265607200).

455835156480 is an abundant number, since it is smaller than the sum of its proper divisors (1288696057920).

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

455835156480 is a wasteful number, since it uses less digits than its factorization.

455835156480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 11520000, while the sum is 54.

The spelling of 455835156480 in words is "four hundred fifty-five billion, eight hundred thirty-five million, one hundred fifty-six thousand, four hundred eighty".