514351240 has 64 divisors (see below), whose sum is σ = 1252888560. Its totient is φ = 188912640.

The previous prime is 514351237. The next prime is 514351259. The reversal of 514351240 is 42153415.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 398960676 + 115390564 = 19974^2 + 10742^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99930 + ... + 104950.

Almost surely, 2^514351240 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 514351240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626444280).

514351240 is an abundant number, since it is smaller than the sum of its proper divisors (738537320).

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

514351240 is a wasteful number, since it uses less digits than its factorization.

514351240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5242 (or 5238 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 514351240 is about 22679.3130407427. The cubic root of 514351240 is about 801.2227343654. Note that the first 3 decimals are identical.

The spelling of 514351240 in words is "five hundred fourteen million, three hundred fifty-one thousand, two hundred forty".