481454208 has 96 divisors (see below), whose sum is σ = 1393692300. Its totient is φ = 159528960.

The previous prime is 481454179. The next prime is 481454209. The reversal of 481454208 is 802454184.

It can be written as a sum of positive squares in 2 ways, for example, as 469675584 + 11778624 = 21672^2 + 3432^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (481454209) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 207358 + ... + 209666.

Almost surely, 2^481454208 is an apocalyptic number.

481454208 is a gapful number since it is divisible by the number (48) 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 481454208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696846150).

481454208 is an abundant number, since it is smaller than the sum of its proper divisors (912238092).

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

481454208 is a wasteful number, since it uses less digits than its factorization.

481454208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2510 (or 2495 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 481454208 is about 21942.0648071233. The cubic root of 481454208 is about 783.7634299416.

The spelling of 481454208 in words is "four hundred eighty-one million, four hundred fifty-four thousand, two hundred eight".