484193700 has 270 divisors, whose sum is σ = 1655293794. Its totient is φ = 122411520.

The previous prime is 484193687. The next prime is 484193713. The reversal of 484193700 is 7391484.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (484193687) and next prime (484193713).

It can be written as a sum of positive squares in 3 ways, for example, as 2742336 + 481451364 = 1656^2 + 21942^2 .

It is a tau number, because it is divible by the number of its divisors (270).

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 89 ways as a sum of consecutive naturals, for example, 4284844 + ... + 4284956.

Almost surely, 2^484193700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 484193700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827646897).

484193700 is an abundant number, since it is smaller than the sum of its proper divisors (1171100094).

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

484193700 is a wasteful number, since it uses less digits than its factorization.

484193700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 146 counting only the distinct ones).

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

The square root of 484193700 is about 22004.4018323607. The cubic root of 484193700 is about 785.2471668165.

The spelling of 484193700 in words is "four hundred eighty-four million, one hundred ninety-three thousand, seven hundred".