451513540 has 48 divisors (see below), whose sum is σ = 1006311600. Its totient is φ = 169582592.

The previous prime is 451513507. The next prime is 451513547. The reversal of 451513540 is 45315154.

It can be written as a sum of positive squares in 8 ways, for example, as 24760576 + 426752964 = 4976^2 + 20658^2 .

It is a junction number, because it is equal to n+sod(n) for n = 451513499 and 451513508.

It is not an unprimeable number, because it can be changed into a prime (451513547) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171756 + ... + 174364.

It is an arithmetic number, because the mean of its divisors is an integer number (20964825).

Almost surely, 2^451513540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 451513540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503155800).

451513540 is an abundant number, since it is smaller than the sum of its proper divisors (554798060).

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

451513540 is a wasteful number, since it uses less digits than its factorization.

451513540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3144 (or 3142 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

The square root of 451513540 is about 21248.8479687723. The cubic root of 451513540 is about 767.1676116964.

Adding to 451513540 its reverse (45315154), we get a palindrome (496828694).

The spelling of 451513540 in words is "four hundred fifty-one million, five hundred thirteen thousand, five hundred forty".