480596000 has 96 divisors (see below), whose sum is σ = 1190799792. Its totient is φ = 190617600.

The previous prime is 480595987. The next prime is 480596027. The reversal of 480596000 is 695084.

It can be written as a sum of positive squares in 8 ways, for example, as 77228944 + 403367056 = 8788^2 + 20084^2 .

It is a super-3 number, since 3×480596000³ (a number of 27 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 547562 + ... + 548438.

Almost surely, 2^480596000 is an apocalyptic number.

480596000 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 480596000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595399896).

480596000 is an abundant number, since it is smaller than the sum of its proper divisors (710203792).

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

480596000 is a wasteful number, since it uses less digits than its factorization.

480596000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1039 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 480596000 is about 21922.4998574524. The cubic root of 480596000 is about 783.2974582433.

The spelling of 480596000 in words is "four hundred eighty million, five hundred ninety-six thousand".