481752230400 has 1200 divisors, whose sum is σ = 2088704439360. Its totient is φ = 107362713600.

The previous prime is 481752230371. The next prime is 481752230429. The reversal of 481752230400 is 4032257184.

It is a happy number.

481752230400 is a `hidden beast` number, since 4 + 8 + 17 + 5 + 2 + 230 + 400 = 666.

481752230400 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (481752230371) and next prime (481752230429).

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-3 number, since 3×481752230400³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 297560791 + ... + 297562409.

Almost surely, 2^481752230400 is an apocalyptic number.

481752230400 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 481752230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044352219680).

481752230400 is an abundant number, since it is smaller than the sum of its proper divisors (1606952208960).

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

481752230400 is a wasteful number, since it uses less digits than its factorization.

481752230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1707 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Adding to 481752230400 its reverse (4032257184), we get a palindrome (485784487584).

The spelling of 481752230400 in words is "four hundred eighty-one billion, seven hundred fifty-two million, two hundred thirty thousand, four hundred".