480169240 has 64 divisors (see below), whose sum is σ = 1130436000. Its totient is φ = 183321600.

The previous prime is 480169187. The next prime is 480169259. The reversal of 480169240 is 42961084.

It is a junction number, because it is equal to n+sod(n) for n = 480169196 and 480169205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100915 + ... + 105565.

Almost surely, 2^480169240 is an apocalyptic number.

480169240 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 480169240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565218000).

480169240 is an abundant number, since it is smaller than the sum of its proper divisors (650266760).

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

480169240 is a wasteful number, since it uses less digits than its factorization.

480169240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4780 (or 4776 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 480169240 is about 21912.7643167173. The cubic root of 480169240 is about 783.0655385597.

The spelling of 480169240 in words is "four hundred eighty million, one hundred sixty-nine thousand, two hundred forty".