481597200 has 360 divisors, whose sum is σ = 1978891200. Its totient is φ = 106122240.

The previous prime is 481597187. The next prime is 481597243. The reversal of 481597200 is 2795184.

481597200 is a `hidden beast` number, since 48 + 1 + 597 + 20 + 0 = 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 71 ways as a sum of consecutive naturals, for example, 730471 + ... + 731129.

It is an arithmetic number, because the mean of its divisors is an integer number (5496920).

Almost surely, 2^481597200 is an apocalyptic number.

481597200 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 481597200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989445600).

481597200 is an abundant number, since it is smaller than the sum of its proper divisors (1497294000).

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

481597200 is a wasteful number, since it uses less digits than its factorization.

481597200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 481597200 is about 21945.3229641306. The cubic root of 481597200 is about 783.8410148952.

The spelling of 481597200 in words is "four hundred eighty-one million, five hundred ninety-seven thousand, two hundred".