480027021240 has 128 divisors (see below), whose sum is σ = 1551817935360. Its totient is φ = 118087248384.

The previous prime is 480027021233. The next prime is 480027021263. The reversal of 480027021240 is 42120720084.

It is a super-2 number, since 2×480027021240² (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 480027021198 and 480027021207.

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, 2443557 + ... + 2632683.

It is an arithmetic number, because the mean of its divisors is an integer number (12123577620).

Almost surely, 2^480027021240 is an apocalyptic number.

480027021240 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 480027021240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775908967680).

480027021240 is an abundant number, since it is smaller than the sum of its proper divisors (1071790914120).

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

480027021240 is a wasteful number, since it uses less digits than its factorization.

480027021240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190781 (or 190777 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The spelling of 480027021240 in words is "four hundred eighty billion, twenty-seven million, twenty-one thousand, two hundred forty".