480090240 has 512 divisors, whose sum is σ = 2007360000. Its totient is φ = 109734912.

The previous prime is 480090203. The next prime is 480090263. The reversal of 480090240 is 42090084.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68584317 + ... + 68584323.

It is an arithmetic number, because the mean of its divisors is an integer number (3920625).

Almost surely, 2^480090240 is an apocalyptic number.

480090240 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 480090240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003680000).

480090240 is an abundant number, since it is smaller than the sum of its proper divisors (1527269760).

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

480090240 is an frugal number, since it uses more digits than its factorization.

480090240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 480090240 is about 21910.9616402384. The cubic root of 480090240 is about 783.0225915004.

The spelling of 480090240 in words is "four hundred eighty million, ninety thousand, two hundred forty".