514274940 has 192 divisors, whose sum is σ = 1706987520. Its totient is φ = 128240640.

The previous prime is 514274933. The next prime is 514274947. The reversal of 514274940 is 49472415.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (514274933) and next prime (514274947).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 514274895 and 514274904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (514274947) 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, 583300 + ... + 584180.

It is an arithmetic number, because the mean of its divisors is an integer number (8890560).

Almost surely, 2^514274940 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 514274940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853493760).

514274940 is an abundant number, since it is smaller than the sum of its proper divisors (1192712580).

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

514274940 is a wasteful number, since it uses less digits than its factorization.

514274940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 514274940 is about 22677.6308286382. The cubic root of 514274940 is about 801.1831140223.

The spelling of 514274940 in words is "five hundred fourteen million, two hundred seventy-four thousand, nine hundred forty".