451999240 has 128 divisors (see below), whose sum is σ = 1281381120. Its totient is φ = 139392000.

The previous prime is 451999237. The next prime is 451999241. The reversal of 451999240 is 42999154.

It is not an unprimeable number, because it can be changed into a prime (451999241) 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, 310354 + ... + 311806.

It is an arithmetic number, because the mean of its divisors is an integer number (10010790).

Almost surely, 2^451999240 is an apocalyptic number.

451999240 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 451999240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640690560).

451999240 is an abundant number, since it is smaller than the sum of its proper divisors (829381880).

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

451999240 is a wasteful number, since it uses less digits than its factorization.

451999240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1583 (or 1579 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 43.

The square root of 451999240 is about 21260.2737517653. The cubic root of 451999240 is about 767.4425977504.

The spelling of 451999240 in words is "four hundred fifty-one million, nine hundred ninety-nine thousand, two hundred forty".