514824240 has 160 divisors (see below), whose sum is σ = 1887022080. Its totient is φ = 113605632.

The previous prime is 514824197. The next prime is 514824281. The reversal of 514824240 is 42428415.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 514824198 and 514824207.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43437 + ... + 54003.

It is an arithmetic number, because the mean of its divisors is an integer number (11793888).

Almost surely, 2^514824240 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 514824240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943511040).

514824240 is an abundant number, since it is smaller than the sum of its proper divisors (1372197840).

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

514824240 is a wasteful number, since it uses less digits than its factorization.

514824240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10619 (or 10613 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

The square root of 514824240 is about 22689.7386498831. The cubic root of 514824240 is about 801.4682619433.

The spelling of 514824240 in words is "five hundred fourteen million, eight hundred twenty-four thousand, two hundred forty".