480619040 has 192 divisors, whose sum is σ = 1337720832. Its totient is φ = 161356800.

The previous prime is 480619037. The next prime is 480619043. The reversal of 480619040 is 40916084.

It is an interprime number because it is at equal distance from previous prime (480619037) and next prime (480619043).

It is a super-3 number, since 3×480619040³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 480618988 and 480619006.

It is not an unprimeable number, because it can be changed into a prime (480619043) 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, 1254689 + ... + 1255071.

It is an arithmetic number, because the mean of its divisors is an integer number (6967296).

Almost surely, 2^480619040 is an apocalyptic number.

480619040 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 480619040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668860416).

480619040 is an abundant number, since it is smaller than the sum of its proper divisors (857101792).

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

480619040 is a wasteful number, since it uses less digits than its factorization.

480619040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 480619040 is about 21923.0253386708. The cubic root of 480619040 is about 783.3099752604.

The spelling of 480619040 in words is "four hundred eighty million, six hundred nineteen thousand, forty".