451241040 has 80 divisors (see below), whose sum is σ = 1404035136. Its totient is φ = 119884800.

The previous prime is 451241009. The next prime is 451241041. The reversal of 451241040 is 40142154.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 451240998 and 451241016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (451241041) 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, 64095 + ... + 70785.

Almost surely, 2^451241040 is an apocalyptic number.

451241040 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 451241040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702017568).

451241040 is an abundant number, since it is smaller than the sum of its proper divisors (952794096).

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

451241040 is a wasteful number, since it uses less digits than its factorization.

451241040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6988 (or 6982 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 451241040 is about 21242.4348886845. The cubic root of 451241040 is about 767.0132455286.

Adding to 451241040 its reverse (40142154), we get a palindrome (491383194).

It can be divided in two parts, 45124 and 1040, that added together give a palindrome (46164).

The spelling of 451241040 in words is "four hundred fifty-one million, two hundred forty-one thousand, forty".