481209346800 has 480 divisors, whose sum is σ = 2108002856960. Its totient is φ = 101529676800.

The previous prime is 481209346769. The next prime is 481209346823. The reversal of 481209346800 is 8643902184.

It is a happy number.

481209346800 is a `hidden beast` number, since 4 + 81 + 20 + 93 + 468 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 737985 + ... + 1227615.

Almost surely, 2^481209346800 is an apocalyptic number.

481209346800 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 481209346800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054001428480).

481209346800 is an abundant number, since it is smaller than the sum of its proper divisors (1626793510160).

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

481209346800 is a wasteful number, since it uses less digits than its factorization.

481209346800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489678 (or 489661 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 481209346800 in words is "four hundred eighty-one billion, two hundred nine million, three hundred forty-six thousand, eight hundred".