481636800 has 168 divisors, whose sum is σ = 1755902000. Its totient is φ = 128424960.

The previous prime is 481636763. The next prime is 481636819. The reversal of 481636800 is 8636184.

It is a happy number.

It is a super-2 number, since 2×481636800² = 463948014228480000, which contains 22 as substring.

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

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37626 + ... + 48774.

Almost surely, 2^481636800 is an apocalyptic number.

481636800 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 481636800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877951000).

481636800 is an abundant number, since it is smaller than the sum of its proper divisors (1274265200).

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

481636800 is a wasteful number, since it uses less digits than its factorization.

481636800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11180 (or 11159 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 481636800 is about 21946.2251879452. The cubic root of 481636800 is about 783.8624984458.

It can be divided in two parts, 4816 and 36800, that added together give a triangular number (41616 = T₂₈₈).

The spelling of 481636800 in words is "four hundred eighty-one million, six hundred thirty-six thousand, eight hundred".