480247040 has 432 divisors, whose sum is σ = 1565867520. Its totient is φ = 139345920.

The previous prime is 480247003. The next prime is 480247043. The reversal of 480247040 is 40742084.

It is a junction number, because it is equal to n+sod(n) for n = 480246994 and 480247012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480247043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15491825 + ... + 15491855.

Almost surely, 2^480247040 is an apocalyptic number.

480247040 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 480247040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782933760).

480247040 is an abundant number, since it is smaller than the sum of its proper divisors (1085620480).

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

480247040 is a wasteful number, since it uses less digits than its factorization.

480247040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 29.

The square root of 480247040 is about 21914.5394658432. The cubic root of 480247040 is about 783.1078286550.

The spelling of 480247040 in words is "four hundred eighty million, two hundred forty-seven thousand, forty".