481784400 has 180 divisors, whose sum is σ = 1717587612. Its totient is φ = 124968960.

The previous prime is 481784393. The next prime is 481784419. The reversal of 481784400 is 4487184.

It is a happy number.

481784400 is a `hidden beast` number, since 48 + 178 + 440 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 34715664 + 447068736 = 5892^2 + 21144^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 131392 + ... + 135008.

Almost surely, 2^481784400 is an apocalyptic number.

481784400 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 481784400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858793806).

481784400 is an abundant number, since it is smaller than the sum of its proper divisors (1235803212).

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

481784400 is a wasteful number, since it uses less digits than its factorization.

481784400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3678 (or 3664 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 481784400 is about 21949.5876954443. The cubic root of 481784400 is about 783.9425631253.

The spelling of 481784400 in words is "four hundred eighty-one million, seven hundred eighty-four thousand, four hundred".