482253600 has 144 divisors (see below), whose sum is σ = 1606584672. Its totient is φ = 125583360.

The previous prime is 482253599. The next prime is 482253631. The reversal of 482253600 is 6352284.

482253600 = T₄₉ + T₅₀ + ... + T₁₄₂₄.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100864 + ... + 105536.

It is an arithmetic number, because the mean of its divisors is an integer number (11156838).

Almost surely, 2^482253600 is an apocalyptic number.

482253600 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 482253600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803292336).

482253600 is an abundant number, since it is smaller than the sum of its proper divisors (1124331072).

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

482253600 is a wasteful number, since it uses less digits than its factorization.

482253600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4739 (or 4726 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 482253600 is about 21960.2732223440. The cubic root of 482253600 is about 784.1969691135.

The spelling of 482253600 in words is "four hundred eighty-two million, two hundred fifty-three thousand, six hundred".