514628940 has 192 divisors, whose sum is σ = 1709890560. Its totient is φ = 113218560.

The previous prime is 514628929. The next prime is 514628953. The reversal of 514628940 is 49826415.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1357671 + ... + 1358049.

It is an arithmetic number, because the mean of its divisors is an integer number (8905680).

Almost surely, 2^514628940 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 514628940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854945280).

514628940 is an abundant number, since it is smaller than the sum of its proper divisors (1195261620).

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

514628940 is a wasteful number, since it uses less digits than its factorization.

514628940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 514628940 is about 22685.4345340794. The cubic root of 514628940 is about 801.3669027243.

The spelling of 514628940 in words is "five hundred fourteen million, six hundred twenty-eight thousand, nine hundred forty".