481951800 has 288 divisors, whose sum is σ = 1790577360. Its totient is φ = 115200000.

The previous prime is 481951793. The next prime is 481951801. The reversal of 481951800 is 8159184.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481951801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1999680 + ... + 1999920.

Almost surely, 2^481951800 is an apocalyptic number.

481951800 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 481951800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895288680).

481951800 is an abundant number, since it is smaller than the sum of its proper divisors (1308625560).

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

481951800 is a wasteful number, since it uses less digits than its factorization.

481951800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 481951800 is about 21953.4006477356. The cubic root of 481951800 is about 784.0333484010.

The spelling of 481951800 in words is "four hundred eighty-one million, nine hundred fifty-one thousand, eight hundred".