482918400 has 270 divisors, whose sum is σ = 1743073332. Its totient is φ = 127795200.

The previous prime is 482918369. The next prime is 482918431. The reversal of 482918400 is 4819284.

It is an interprime number because it is at equal distance from previous prime (482918369) and next prime (482918431).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3686335 + ... + 3686465.

Almost surely, 2^482918400 is an apocalyptic number.

482918400 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 482918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871536666).

482918400 is an abundant number, since it is smaller than the sum of its proper divisors (1260154932).

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

482918400 is a wasteful number, since it uses less digits than its factorization.

482918400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 482918400 is about 21975.4044331384. The cubic root of 482918400 is about 784.5571494352.

The spelling of 482918400 in words is "four hundred eighty-two million, nine hundred eighteen thousand, four hundred".