480398040 has 160 divisors (see below), whose sum is σ = 1639511280. Its totient is φ = 126137088.

The previous prime is 480398027. The next prime is 480398081. The reversal of 480398040 is 40893084.

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 = 480397986 and 480398004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 215974 + ... + 218186.

Almost surely, 2^480398040 is an apocalyptic number.

480398040 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 480398040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819755640).

480398040 is an abundant number, since it is smaller than the sum of its proper divisors (1159113240).

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

480398040 is a wasteful number, since it uses less digits than its factorization.

480398040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2303 (or 2290 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 480398040 is about 21917.9843963810. The cubic root of 480398040 is about 783.1898953701.

The spelling of 480398040 in words is "four hundred eighty million, three hundred ninety-eight thousand, forty".