480779820 has 48 divisors (see below), whose sum is σ = 1495761120. Its totient is φ = 128207808.

The previous prime is 480779797. The next prime is 480779843. The reversal of 480779820 is 28977084.

It is an interprime number because it is at equal distance from previous prime (480779797) and next prime (480779843).

It is a super-3 number, since 3×480779820³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 15 ways as a sum of consecutive naturals, for example, 444627 + ... + 445706.

It is an arithmetic number, because the mean of its divisors is an integer number (31161690).

Almost surely, 2^480779820 is an apocalyptic number.

It is an amenable number.

480779820 is an abundant number, since it is smaller than the sum of its proper divisors (1014981300).

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

480779820 is a wasteful number, since it uses less digits than its factorization.

480779820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890351 (or 890343 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 480779820 is about 21926.6919529600. The cubic root of 480779820 is about 783.3973116096.

The spelling of 480779820 in words is "four hundred eighty million, seven hundred seventy-nine thousand, eight hundred twenty".