480006390 has 64 divisors (see below), whose sum is σ = 1236586176. Its totient is φ = 118812672.

The previous prime is 480006323. The next prime is 480006391. The reversal of 480006390 is 93600084.

It is a super-2 number, since 2×480006390² = 460812268881664200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480006391) 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, 30784 + ... + 43676.

It is an arithmetic number, because the mean of its divisors is an integer number (19321659).

Almost surely, 2^480006390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480006390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618293088).

480006390 is an abundant number, since it is smaller than the sum of its proper divisors (756579786).

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

480006390 is a wasteful number, since it uses less digits than its factorization.

480006390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12993.

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 480006390 is about 21909.0481308522. The cubic root of 480006390 is about 782.9770026634.

The spelling of 480006390 in words is "four hundred eighty million, six thousand, three hundred ninety".