454917228480 has 1176 divisors, whose sum is σ = 1920422422800. Its totient is φ = 101702615040.

The previous prime is 454917228431. The next prime is 454917228503. The reversal of 454917228480 is 84822719454.

454917228480 is a `hidden beast` number, since 4 + 5 + 4 + 91 + 72 + 2 + 8 + 480 = 666.

It is a super-2 number, since 2×454917228480² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 433666996 + ... + 433668044.

Almost surely, 2^454917228480 is an apocalyptic number.

454917228480 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 454917228480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960211211400).

454917228480 is an abundant number, since it is smaller than the sum of its proper divisors (1465505194320).

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

454917228480 is a wasteful number, since it uses less digits than its factorization.

454917228480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 454917228480 in words is "four hundred fifty-four billion, nine hundred seventeen million, two hundred twenty-eight thousand, four hundred eighty".