480297600 has 480 divisors, whose sum is σ = 1893879900. Its totient is φ = 119439360.

The previous prime is 480297589. The next prime is 480297619. The reversal of 480297600 is 6792084.

480297600 is a `hidden beast` number, since 48 + 0 + 2 + 9 + 7 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 291180096 + 189117504 = 17064^2 + 13752^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4406346 + ... + 4406454.

Almost surely, 2^480297600 is an apocalyptic number.

480297600 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 480297600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946939950).

480297600 is an abundant number, since it is smaller than the sum of its proper divisors (1413582300).

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

480297600 is a wasteful number, since it uses less digits than its factorization.

480297600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 480297600 is about 21915.6930075232. The cubic root of 480297600 is about 783.1353093328.

The spelling of 480297600 in words is "four hundred eighty million, two hundred ninety-seven thousand, six hundred".