514806240 has 384 divisors, whose sum is σ = 1938650112. Its totient is φ = 113541120.

The previous prime is 514806233. The next prime is 514806241. The reversal of 514806240 is 42608415.

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 = 514806198 and 514806207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (514806241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2439735 + ... + 2439945.

It is an arithmetic number, because the mean of its divisors is an integer number (5048568).

Almost surely, 2^514806240 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 514806240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969325056).

514806240 is an abundant number, since it is smaller than the sum of its proper divisors (1423843872).

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

514806240 is a wasteful number, since it uses less digits than its factorization.

514806240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 514806240 is about 22689.3419913403. The cubic root of 514806240 is about 801.4589211524.

The spelling of 514806240 in words is "five hundred fourteen million, eight hundred six thousand, two hundred forty".