480987392 has 72 divisors (see below), whose sum is σ = 1030176000. Its totient is φ = 223322112.

The previous prime is 480987391. The next prime is 480987421. The reversal of 480987392 is 293789084.

It is a happy number.

It is a super-3 number, since 3×480987392³ (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 480987392.

It is not an unprimeable number, because it can be changed into a prime (480987391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 343109 + ... + 344507.

It is an arithmetic number, because the mean of its divisors is an integer number (14308000).

Almost surely, 2^480987392 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 480987392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515088000).

480987392 is an abundant number, since it is smaller than the sum of its proper divisors (549188608).

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

480987392 is a wasteful number, since it uses less digits than its factorization.

480987392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1511 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 50.

The square root of 480987392 is about 21931.4247599193. The cubic root of 480987392 is about 783.5100367724.

The spelling of 480987392 in words is "four hundred eighty million, nine hundred eighty-seven thousand, three hundred ninety-two".