482803200 has 480 divisors, whose sum is σ = 1948446720. Its totient is φ = 116121600.

The previous prime is 482803193. The next prime is 482803259. The reversal of 482803200 is 2308284.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 3801537 + ... + 3801663.

It is an arithmetic number, because the mean of its divisors is an integer number (4059264).

Almost surely, 2^482803200 is an apocalyptic number.

482803200 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 482803200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974223360).

482803200 is an abundant number, since it is smaller than the sum of its proper divisors (1465643520).

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

482803200 is a wasteful number, since it uses less digits than its factorization.

482803200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 482803200 is about 21972.7831646335. The cubic root of 482803200 is about 784.4947592044.

The spelling of 482803200 in words is "four hundred eighty-two million, eight hundred three thousand, two hundred".