483971400 has 144 divisors (see below), whose sum is σ = 1773167760. Its totient is φ = 117321600.

The previous prime is 483971399. The next prime is 483971431. The reversal of 483971400 is 4179384.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7579 + ... + 32021.

It is an arithmetic number, because the mean of its divisors is an integer number (12313665).

Almost surely, 2^483971400 is an apocalyptic number.

483971400 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 483971400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886583880).

483971400 is an abundant number, since it is smaller than the sum of its proper divisors (1289196360).

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

483971400 is a wasteful number, since it uses less digits than its factorization.

483971400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24476 (or 24464 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 483971400 is about 21999.3499903974. The cubic root of 483971400 is about 785.1269758225.

The spelling of 483971400 in words is "four hundred eighty-three million, nine hundred seventy-one thousand, four hundred".