480497640 has 128 divisors (see below), whose sum is σ = 1655838720. Its totient is φ = 109267200.

The previous prime is 480497627. The next prime is 480497653. The reversal of 480497640 is 46794084.

It is an interprime number because it is at equal distance from previous prime (480497627) and next prime (480497653).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 480497592 and 480497601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175885 + ... + 178595.

It is an arithmetic number, because the mean of its divisors is an integer number (12936240).

Almost surely, 2^480497640 is an apocalyptic number.

480497640 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 480497640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827919360).

480497640 is an abundant number, since it is smaller than the sum of its proper divisors (1175341080).

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

480497640 is a wasteful number, since it uses less digits than its factorization.

480497640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2943 (or 2939 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 480497640 is about 21920.2563853619. The cubic root of 480497640 is about 783.2440173806.

The spelling of 480497640 in words is "four hundred eighty million, four hundred ninety-seven thousand, six hundred forty".