480417240 has 128 divisors (see below), whose sum is σ = 1477440000. Its totient is φ = 124938240.

The previous prime is 480417227. The next prime is 480417241. The reversal of 480417240 is 42714084.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 480417198 and 480417207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480417241) 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, 962511 + ... + 963009.

It is an arithmetic number, because the mean of its divisors is an integer number (11542500).

Almost surely, 2^480417240 is an apocalyptic number.

480417240 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 480417240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738720000).

480417240 is an abundant number, since it is smaller than the sum of its proper divisors (997022760).

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

480417240 is a wasteful number, since it uses less digits than its factorization.

480417240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 480417240 is about 21918.4223884841. The cubic root of 480417240 is about 783.2003291107.

The spelling of 480417240 in words is "four hundred eighty million, four hundred seventeen thousand, two hundred forty".