481923600 has 240 divisors, whose sum is σ = 1697510400. Its totient is φ = 116328960.

The previous prime is 481923583. The next prime is 481923677. The reversal of 481923600 is 6329184.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×481923600³ (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 47 ways as a sum of consecutive naturals, for example, 523941 + ... + 524859.

It is an arithmetic number, because the mean of its divisors is an integer number (7072960).

Almost surely, 2^481923600 is an apocalyptic number.

481923600 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 481923600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848755200).

481923600 is an abundant number, since it is smaller than the sum of its proper divisors (1215586800).

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

481923600 is a wasteful number, since it uses less digits than its factorization.

481923600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 481923600 is about 21952.7583688246. The cubic root of 481923600 is about 784.0180562966.

The spelling of 481923600 in words is "four hundred eighty-one million, nine hundred twenty-three thousand, six hundred".