480987072 has 280 divisors, whose sum is σ = 1528340352. Its totient is φ = 149299200.

The previous prime is 480987053. The next prime is 480987097. The reversal of 480987072 is 270789084.

It is a super-3 number, since 3×480987072³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6588828 + ... + 6588900.

Almost surely, 2^480987072 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 480987072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764170176).

480987072 is an abundant number, since it is smaller than the sum of its proper divisors (1047353280).

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

480987072 is a wasteful number, since it uses less digits than its factorization.

480987072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 480987072 is about 21931.4174644504. The cubic root of 480987072 is about 783.5098630165.

The spelling of 480987072 in words is "four hundred eighty million, nine hundred eighty-seven thousand, seventy-two".