481218192 has 160 divisors (see below), whose sum is σ = 1700168960. Its totient is φ = 126904320.

The previous prime is 481218131. The next prime is 481218193. The reversal of 481218192 is 291812184.

It is a happy number.

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

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

It is not an unprimeable number, because it can be changed into a prime (481218193) 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, 33192 + ... + 45432.

It is an arithmetic number, because the mean of its divisors is an integer number (10626056).

Almost surely, 2^481218192 is an apocalyptic number.

481218192 is a gapful number since it is divisible by the number (42) 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 481218192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850084480).

481218192 is an abundant number, since it is smaller than the sum of its proper divisors (1218950768).

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

481218192 is a wasteful number, since it uses less digits than its factorization.

481218192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12278 (or 12266 counting only the distinct ones).

The product of its digits is 9216, while the sum is 36.

The square root of 481218192 is about 21936.6859848975. The cubic root of 481218192 is about 783.6353381857.

The spelling of 481218192 in words is "four hundred eighty-one million, two hundred eighteen thousand, one hundred ninety-two".