451140240 has 160 divisors (see below), whose sum is σ = 1475262720. Its totient is φ = 113870848.

The previous prime is 451140229. The next prime is 451140247. The reversal of 451140240 is 42041154.

It is a happy number.

It is a super-2 number, since 2×451140240² = 407055032294515200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (451140247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 368269 + ... + 369491.

It is an arithmetic number, because the mean of its divisors is an integer number (9220392).

Almost surely, 2^451140240 is an apocalyptic number.

451140240 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 451140240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737631360).

451140240 is an abundant number, since it is smaller than the sum of its proper divisors (1024122480).

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

451140240 is a wasteful number, since it uses less digits than its factorization.

451140240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321 (or 1315 counting only the distinct ones).

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

The square root of 451140240 is about 21240.0621468017. The cubic root of 451140240 is about 766.9561284626.

Adding to 451140240 its reverse (42041154), we get a palindrome (493181394).

The spelling of 451140240 in words is "four hundred fifty-one million, one hundred forty thousand, two hundred forty".