483782400 has 324 divisors, whose sum is σ = 1784203512. Its totient is φ = 124968960.

The previous prime is 483782393. The next prime is 483782401. The reversal of 483782400 is 4287384.

483782400 is a `hidden beast` number, since 48 + 378 + 240 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (483782401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2131087 + ... + 2131313.

Almost surely, 2^483782400 is an apocalyptic number.

483782400 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 483782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892101756).

483782400 is an abundant number, since it is smaller than the sum of its proper divisors (1300421112).

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

483782400 is a wasteful number, since it uses less digits than its factorization.

483782400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 483782400 is about 21995.0539894768. The cubic root of 483782400 is about 785.0247601965.

The spelling of 483782400 in words is "four hundred eighty-three million, seven hundred eighty-two thousand, four hundred".