480027072 has 112 divisors (see below), whose sum is σ = 1456375040. Its totient is φ = 136691712.

The previous prime is 480027059. The next prime is 480027083. The reversal of 480027072 is 270720084.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

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, 775179 + ... + 775797.

Almost surely, 2^480027072 is an apocalyptic number.

480027072 is a gapful number since it is divisible by the number (42) 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 480027072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728187520).

480027072 is an abundant number, since it is smaller than the sum of its proper divisors (976347968).

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

480027072 is a wasteful number, since it uses less digits than its factorization.

480027072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 480027072 is about 21909.5201225403. The cubic root of 480027072 is about 782.9882478594.

The spelling of 480027072 in words is "four hundred eighty million, twenty-seven thousand, seventy-two".