481682376 has 320 divisors, whose sum is σ = 1700582400. Its totient is φ = 124711488.

The previous prime is 481682359. The next prime is 481682381. The reversal of 481682376 is 673286184.

It is a super-2 number, since 2×481682376² = 464035822698010752, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (387072) is a multiple of the sum of its prime divisors (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20942701 + ... + 20942723.

It is an arithmetic number, because the mean of its divisors is an integer number (5314320).

Almost surely, 2^481682376 is an apocalyptic number.

481682376 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 481682376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850291200).

481682376 is an abundant number, since it is smaller than the sum of its proper divisors (1218900024).

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

481682376 is an equidigital number, since it uses as much as digits as its factorization.

481682376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 54 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 481682376 is about 21947.2635196281. The cubic root of 481682376 is about 783.8872226020.

The spelling of 481682376 in words is "four hundred eighty-one million, six hundred eighty-two thousand, three hundred seventy-six".