480363840 has 336 divisors, whose sum is σ = 1840138560. Its totient is φ = 114032640.

The previous prime is 480363839. The next prime is 480363841. The reversal of 480363840 is 48363084.

It is an interprime number because it is at equal distance from previous prime (480363839) and next prime (480363841).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 480363795 and 480363804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480363841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1868992 + ... + 1869248.

Almost surely, 2^480363840 is an apocalyptic number.

480363840 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 480363840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920069280).

480363840 is an abundant number, since it is smaller than the sum of its proper divisors (1359774720).

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

480363840 is a wasteful number, since it uses less digits than its factorization.

480363840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 480363840 is about 21917.2042012662. The cubic root of 480363840 is about 783.1713095809.

The spelling of 480363840 in words is "four hundred eighty million, three hundred sixty-three thousand, eight hundred forty".