481057200 has 360 divisors, whose sum is σ = 1895937680. Its totient is φ = 111974400.

The previous prime is 481057183. The next prime is 481057217. The reversal of 481057200 is 2750184.

It is an interprime number because it is at equal distance from previous prime (481057183) and next prime (481057217).

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

It is a super-3 number, since 3×481057200³ (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 888930 + ... + 889470.

Almost surely, 2^481057200 is an apocalyptic number.

481057200 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 481057200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947968840).

481057200 is an abundant number, since it is smaller than the sum of its proper divisors (1414880480).

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

481057200 is a wasteful number, since it uses less digits than its factorization.

481057200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 481057200 is about 21933.0162084470. The cubic root of 481057200 is about 783.5479397914.

The spelling of 481057200 in words is "four hundred eighty-one million, fifty-seven thousand, two hundred".