480277820 has 96 divisors (see below), whose sum is σ = 1172102400. Its totient is φ = 163468800.

The previous prime is 480277799. The next prime is 480277841. The reversal of 480277820 is 28772084.

480277820 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (480277799) and next prime (480277841).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 371375 + ... + 372665.

It is an arithmetic number, because the mean of its divisors is an integer number (12209400).

Almost surely, 2^480277820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480277820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586051200).

480277820 is an abundant number, since it is smaller than the sum of its proper divisors (691824580).

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

480277820 is a wasteful number, since it uses less digits than its factorization.

480277820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1419 (or 1417 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 38.

The square root of 480277820 is about 21915.2417280759. The cubic root of 480277820 is about 783.1245586169.

The spelling of 480277820 in words is "four hundred eighty million, two hundred seventy-seven thousand, eight hundred twenty".