480951940 has 96 divisors (see below), whose sum is σ = 1241210880. Its totient is φ = 152855424.

The previous prime is 480951917. The next prime is 480951953. The reversal of 480951940 is 49159084.

It is a super-3 number, since 3×480951940³ (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 480951893 and 480951902.

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, 123097 + ... + 126943.

It is an arithmetic number, because the mean of its divisors is an integer number (12929280).

Almost surely, 2^480951940 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 480951940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620605440).

480951940 is an abundant number, since it is smaller than the sum of its proper divisors (760258940).

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

480951940 is a wasteful number, since it uses less digits than its factorization.

480951940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3929 (or 3927 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The square root of 480951940 is about 21930.6164984024. The cubic root of 480951940 is about 783.4907863161.

The spelling of 480951940 in words is "four hundred eighty million, nine hundred fifty-one thousand, nine hundred forty".