480983040 has 288 divisors, whose sum is σ = 1770809040. Its totient is φ = 120324096.

The previous prime is 480983021. The next prime is 480983131. The reversal of 480983040 is 40389084.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×480983040³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 480982986 and 480983004.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1566567 + ... + 1566873.

Almost surely, 2^480983040 is an apocalyptic number.

480983040 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 480983040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885404520).

480983040 is an abundant number, since it is smaller than the sum of its proper divisors (1289826000).

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

480983040 is a wasteful number, since it uses less digits than its factorization.

480983040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 480983040 is about 21931.3255413347. The cubic root of 480983040 is about 783.5076736849.

The spelling of 480983040 in words is "four hundred eighty million, nine hundred eighty-three thousand, forty".