514340736 has 256 divisors, whose sum is σ = 1727308800. Its totient is φ = 131973120.

The previous prime is 514340731. The next prime is 514340753. The reversal of 514340736 is 637043415.

It is a junction number, because it is equal to n+sod(n) for n = 514340697 and 514340706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (514340731) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1432525 + ... + 1432883.

It is an arithmetic number, because the mean of its divisors is an integer number (6747300).

Almost surely, 2^514340736 is an apocalyptic number.

514340736 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 514340736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863654400).

514340736 is an abundant number, since it is smaller than the sum of its proper divisors (1212968064).

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

514340736 is a wasteful number, since it uses less digits than its factorization.

514340736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 514340736 is about 22679.0814628812. The cubic root of 514340736 is about 801.2172801801.

The spelling of 514340736 in words is "five hundred fourteen million, three hundred forty thousand, seven hundred thirty-six".