481846596 has 288 divisors, whose sum is σ = 1544417280. Its totient is φ = 115315200.

The previous prime is 481846567. The next prime is 481846621. The reversal of 481846596 is 695648184.

It is a super-2 number, since 2×481846596² = 464352284153574432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6099285 + ... + 6099363.

It is an arithmetic number, because the mean of its divisors is an integer number (5362560).

Almost surely, 2^481846596 is an apocalyptic number.

481846596 is a gapful number since it is divisible by the number (46) 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 481846596, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772208640).

481846596 is an abundant number, since it is smaller than the sum of its proper divisors (1062570684).

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

481846596 is a wasteful number, since it uses less digits than its factorization.

481846596 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 166 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 51.

The square root of 481846596 is about 21951.0044417106. The cubic root of 481846596 is about 783.9762960520.

The spelling of 481846596 in words is "four hundred eighty-one million, eight hundred forty-six thousand, five hundred ninety-six".