484250400 has 432 divisors, whose sum is σ = 1842632064. Its totient is φ = 124001280.

The previous prime is 484250399. The next prime is 484250419. The reversal of 484250400 is 4052484.

484250400 is a `hidden beast` number, since 4 + 8 + 4 + 250 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 9136774 + ... + 9136826.

It is an arithmetic number, because the mean of its divisors is an integer number (4265352).

Almost surely, 2^484250400 is an apocalyptic number.

484250400 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 484250400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921316032).

484250400 is an abundant number, since it is smaller than the sum of its proper divisors (1358381664).

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

484250400 is a wasteful number, since it uses less digits than its factorization.

484250400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 484250400 is about 22005.6901732257. The cubic root of 484250400 is about 785.2778169307.

The spelling of 484250400 in words is "four hundred eighty-four million, two hundred fifty thousand, four hundred".