451113705 has 192 divisors, whose sum is σ = 1006387200. Its totient is φ = 189423360.

The previous prime is 451113703. The next prime is 451113739. The reversal of 451113705 is 507311154.

451113705 is nontrivially palindromic in base 4.

It is not a de Polignac number, because 451113705 - 2¹ = 451113703 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (451113701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7645966 + ... + 7646024.

It is an arithmetic number, because the mean of its divisors is an integer number (5241600).

Almost surely, 2^451113705 is an apocalyptic number.

451113705 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

451113705 is an abundant number, since it is smaller than the sum of its proper divisors (555273495).

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

451113705 is a wasteful number, since it uses less digits than its factorization.

451113705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 451113705 is about 21239.4374925514. The cubic root of 451113705 is about 766.9410913203.

Adding to 451113705 its reverse (507311154), we get a palindrome (958424859).

The spelling of 451113705 in words is "four hundred fifty-one million, one hundred thirteen thousand, seven hundred five".