451501120 has 112 divisors (see below), whose sum is σ = 1234366848. Its totient is φ = 154091520.

The previous prime is 451501111. The next prime is 451501133. The reversal of 451501120 is 21105154.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×451501120² = 407706522722508800, which contains 22 as substring.

It is an unprimeable number.

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, 790435 + ... + 791005.

Almost surely, 2^451501120 is an apocalyptic number.

451501120 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 451501120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617183424).

451501120 is an abundant number, since it is smaller than the sum of its proper divisors (782865728).

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

451501120 is a wasteful number, since it uses less digits than its factorization.

451501120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 19.

The square root of 451501120 is about 21248.5557156245. Note that the first 3 decimals coincide. The cubic root of 451501120 is about 767.1605773491.

Adding to 451501120 its reverse (21105154), we get a palindrome (472606274).

The spelling of 451501120 in words is "four hundred fifty-one million, five hundred one thousand, one hundred twenty".