480015000 has 120 divisors (see below), whose sum is σ = 1624683060. Its totient is φ = 127992000.

The previous prime is 480014999. The next prime is 480015007. The reversal of 480015000 is 510084.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480015007) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 39667 + ... + 50333.

Almost surely, 2^480015000 is an apocalyptic number.

480015000 is a gapful number since it is divisible by the number (40) 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 480015000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812341530).

480015000 is an abundant number, since it is smaller than the sum of its proper divisors (1144668060).

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

480015000 is a wasteful number, since it uses less digits than its factorization.

480015000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10699 (or 10677 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 480015000 is about 21909.2446241307. The cubic root of 480015000 is about 782.9816841231.

Adding to 480015000 its reverse (510084), we get a palindrome (480525084).

The spelling of 480015000 in words is "four hundred eighty million, fifteen thousand".