514988640 has 144 divisors (see below), whose sum is σ = 1798484688. Its totient is φ = 134120448.

The previous prime is 514988629. The next prime is 514988687. The reversal of 514988640 is 46889415.

514988640 is a `hidden beast` number, since 514 + 98 + 8 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57762 + ... + 66078.

It is an arithmetic number, because the mean of its divisors is an integer number (12489477).

Almost surely, 2^514988640 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 514988640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899242344).

514988640 is an abundant number, since it is smaller than the sum of its proper divisors (1283496048).

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

514988640 is a wasteful number, since it uses less digits than its factorization.

514988640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8381 (or 8370 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 514988640 is about 22693.3611437354. The cubic root of 514988640 is about 801.5535644274.

The spelling of 514988640 in words is "five hundred fourteen million, nine hundred eighty-eight thousand, six hundred forty".