481130496 has 384 divisors, whose sum is σ = 1792627200. Its totient is φ = 123863040.

The previous prime is 481130467. The next prime is 481130497. The reversal of 481130496 is 694031184.

481130496 is a `hidden beast` number, since 481 + 130 + 49 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a self number, because there is not a number n which added to its sum of digits gives 481130496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481130497) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4257736 + ... + 4257848.

It is an arithmetic number, because the mean of its divisors is an integer number (4668300).

Almost surely, 2^481130496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481130496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896313600).

481130496 is an abundant number, since it is smaller than the sum of its proper divisors (1311496704).

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

481130496 is a wasteful number, since it uses less digits than its factorization.

481130496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 481130496 is about 21934.6870504231. The cubic root of 481130496 is about 783.5877327123.

The spelling of 481130496 in words is "four hundred eighty-one million, one hundred thirty thousand, four hundred ninety-six".