480433334084 has 48 divisors (see below), whose sum is σ = 926487930816. Its totient is φ = 216166224000.

The previous prime is 480433334071. The next prime is 480433334093.

480433334084 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×480433334084² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24356594 + ... + 24376310.

It is an arithmetic number, because the mean of its divisors is an integer number (19301831892).

Almost surely, 2^480433334084 is an apocalyptic number.

480433334084 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

480433334084 is a deficient number, since it is larger than the sum of its proper divisors (446054596732).

480433334084 is a wasteful number, since it uses less digits than its factorization.

480433334084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25316 (or 25314 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 44.

The spelling of 480433334084 in words is "four hundred eighty billion, four hundred thirty-three million, three hundred thirty-four thousand, eighty-four".