481084400 has 60 divisors (see below), whose sum is σ = 1164755064. Its totient is φ = 190944000.

The previous prime is 481084361. The next prime is 481084423. The reversal of 481084400 is 4480184.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47810 + ... + 56990.

Almost surely, 2^481084400 is an apocalyptic number.

481084400 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 481084400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582377532).

481084400 is an abundant number, since it is smaller than the sum of its proper divisors (683670664).

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

481084400 is a wasteful number, since it uses less digits than its factorization.

481084400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9330 (or 9319 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 29.

The square root of 481084400 is about 21933.6362694379. The cubic root of 481084400 is about 783.5627073370.

The spelling of 481084400 in words is "four hundred eighty-one million, eighty-four thousand, four hundred".