482592000 has 288 divisors, whose sum is σ = 1752476544. Its totient is φ = 116736000.

The previous prime is 482591983. The next prime is 482592007. The reversal of 482592000 is 295284.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (482592007) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1055772 + ... + 1056228.

It is an arithmetic number, because the mean of its divisors is an integer number (6084988).

Almost surely, 2^482592000 is an apocalyptic number.

482592000 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 482592000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876238272).

482592000 is an abundant number, since it is smaller than the sum of its proper divisors (1269884544).

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

482592000 is a wasteful number, since it uses less digits than its factorization.

482592000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 482592000 is about 21967.9766933598. The cubic root of 482592000 is about 784.3803513336.

The spelling of 482592000 in words is "four hundred eighty-two million, five hundred ninety-two thousand".