482261400 has 144 divisors (see below), whose sum is σ = 1634616360. Its totient is φ = 127411200.

The previous prime is 482261371. The next prime is 482261413. The reversal of 482261400 is 4162284.

482261400 is a `hidden beast` number, since 48 + 2 + 2 + 614 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 202215 + ... + 204585.

Almost surely, 2^482261400 is an apocalyptic number.

482261400 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 482261400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817308180).

482261400 is an abundant number, since it is smaller than the sum of its proper divisors (1152354960).

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

482261400 is a wasteful number, since it uses less digits than its factorization.

482261400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2506 (or 2494 counting only the distinct ones).

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

The square root of 482261400 is about 21960.4508150448. The cubic root of 482261400 is about 784.2011969743.

The spelling of 482261400 in words is "four hundred eighty-two million, two hundred sixty-one thousand, four hundred".