480983724 has 192 divisors, whose sum is σ = 1423994880. Its totient is φ = 139345920.

The previous prime is 480983663. The next prime is 480983729. The reversal of 480983724 is 427389084.

It is a super-3 number, since 3×480983724³ (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 480983724.

It is not an unprimeable number, because it can be changed into a prime (480983729) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1871404 + ... + 1871660.

It is an arithmetic number, because the mean of its divisors is an integer number (7416640).

Almost surely, 2^480983724 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 480983724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711997440).

480983724 is an abundant number, since it is smaller than the sum of its proper divisors (943011156).

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

480983724 is a wasteful number, since it uses less digits than its factorization.

480983724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 480983724 is about 21931.3411354618. The cubic root of 480983724 is about 783.5080450902.

The spelling of 480983724 in words is "four hundred eighty million, nine hundred eighty-three thousand, seven hundred twenty-four".