481353969600 has 1260 divisors, whose sum is σ = 2073440420040. Its totient is φ = 109212364800.

The previous prime is 481353969581. The next prime is 481353969619. The reversal of 481353969600 is 6969353184.

481353969600 is a `hidden beast` number, since 4 + 8 + 13 + 539 + 6 + 96 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (481353969581) and next prime (481353969619).

It is a tau number, because it is divible by the number of its divisors (1260).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 179 ways as a sum of consecutive naturals, for example, 1454241435 + ... + 1454241765.

Almost surely, 2^481353969600 is an apocalyptic number.

481353969600 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 481353969600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036720210020).

481353969600 is an abundant number, since it is smaller than the sum of its proper divisors (1592086450440).

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

481353969600 is a wasteful number, since it uses less digits than its factorization.

481353969600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 481353969600 in words is "four hundred eighty-one billion, three hundred fifty-three million, nine hundred sixty-nine thousand, six hundred".