451115520 has 160 divisors (see below), whose sum is σ = 1455442560. Its totient is φ = 119193600.

The previous prime is 451115501. The next prime is 451115521. The reversal of 451115520 is 25511154.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (451115521) 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 15 ways as a sum of consecutive naturals, for example, 1159486 + ... + 1159874.

It is an arithmetic number, because the mean of its divisors is an integer number (9096516).

Almost surely, 2^451115520 is an apocalyptic number.

451115520 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 451115520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727721280).

451115520 is an abundant number, since it is smaller than the sum of its proper divisors (1004327040).

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

451115520 is a wasteful number, since it uses less digits than its factorization.

451115520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 24.

The square root of 451115520 is about 21239.4802196287. The cubic root of 451115520 is about 766.9421198830.

Adding to 451115520 its reverse (25511154), we get a palindrome (476626674).

The spelling of 451115520 in words is "four hundred fifty-one million, one hundred fifteen thousand, five hundred twenty".