485337600 has 360 divisors, whose sum is σ = 1899735552. Its totient is φ = 117350400.

The previous prime is 485337569. The next prime is 485337613. The reversal of 485337600 is 6733584.

It is a happy number.

485337600 is a `hidden beast` number, since 48 + 5 + 3 + 3 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

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 35 ways as a sum of consecutive naturals, for example, 1267009 + ... + 1267391.

Almost surely, 2^485337600 is an apocalyptic number.

485337600 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 485337600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949867776).

485337600 is an abundant number, since it is smaller than the sum of its proper divisors (1414397952).

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

485337600 is a wasteful number, since it uses less digits than its factorization.

485337600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 485337600 is about 22030.3790253368. The cubic root of 485337600 is about 785.8650585118.

The spelling of 485337600 in words is "four hundred eighty-five million, three hundred thirty-seven thousand, six hundred".