481059200 has 192 divisors, whose sum is σ = 1297684800. Its totient is φ = 175472640.

The previous prime is 481059199. The next prime is 481059211. The reversal of 481059200 is 2950184.

It is a super-3 number, since 3×481059200³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2012681 + ... + 2012919.

It is an arithmetic number, because the mean of its divisors is an integer number (6758775).

Almost surely, 2^481059200 is an apocalyptic number.

481059200 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 481059200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648842400).

481059200 is an abundant number, since it is smaller than the sum of its proper divisors (816625600).

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

481059200 is a wasteful number, since it uses less digits than its factorization.

481059200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 481059200 is about 21933.0618017640. The cubic root of 481059200 is about 783.5490256593.

The spelling of 481059200 in words is "four hundred eighty-one million, fifty-nine thousand, two hundred".