514807020 has 288 divisors, whose sum is σ = 1961511552. Its totient is φ = 106389504.

The previous prime is 514807003. The next prime is 514807021. The reversal of 514807020 is 20708415.

514807020 is a `hidden beast` number, since 514 + 80 + 70 + 2 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (514807021) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 867844 + ... + 868436.

It is an arithmetic number, because the mean of its divisors is an integer number (6810804).

Almost surely, 2^514807020 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 514807020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (980755776).

514807020 is an abundant number, since it is smaller than the sum of its proper divisors (1446704532).

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

514807020 is a wasteful number, since it uses less digits than its factorization.

514807020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 514807020 is about 22689.3591800209. The cubic root of 514807020 is about 801.4593259245.

The spelling of 514807020 in words is "five hundred fourteen million, eight hundred seven thousand, twenty".