480975040 has 224 divisors, whose sum is σ = 1433779200. Its totient is φ = 149630976.

The previous prime is 480974993. The next prime is 480975041. The reversal of 480975040 is 40579084.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×480975040³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (480975041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2416861 + ... + 2417059.

It is an arithmetic number, because the mean of its divisors is an integer number (6400800).

Almost surely, 2^480975040 is an apocalyptic number.

480975040 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 480975040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716889600).

480975040 is an abundant number, since it is smaller than the sum of its proper divisors (952804160).

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

480975040 is a wasteful number, since it uses less digits than its factorization.

480975040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 480975040 is about 21931.1431530598. The cubic root of 480975040 is about 783.5033297367.

The spelling of 480975040 in words is "four hundred eighty million, nine hundred seventy-five thousand, forty".