451113600 has 384 divisors, whose sum is σ = 1745424000. Its totient is φ = 102359040.

The previous prime is 451113563. The next prime is 451113601. The reversal of 451113600 is 6311154.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (451113601) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3292732 + ... + 3292868.

It is an arithmetic number, because the mean of its divisors is an integer number (4545375).

Almost surely, 2^451113600 is an apocalyptic number.

451113600 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 451113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872712000).

451113600 is an abundant number, since it is smaller than the sum of its proper divisors (1294310400).

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

451113600 is a wasteful number, since it uses less digits than its factorization.

451113600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 451113600 is about 21239.4350207344. The cubic root of 451113600 is about 766.9410318166.

Adding to 451113600 its reverse (6311154), we get a palindrome (457424754).

The spelling of 451113600 in words is "four hundred fifty-one million, one hundred thirteen thousand, six hundred".