514040000 has 140 divisors (see below), whose sum is σ = 1299746448. Its totient is φ = 201600000.

The previous prime is 514039997. The next prime is 514040027. The reversal of 514040000 is 40415.

514040000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2839910 + ... + 2840090.

Almost surely, 2^514040000 is an apocalyptic number.

514040000 is a gapful number since it is divisible by the number (50) 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 514040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649873224).

514040000 is an abundant number, since it is smaller than the sum of its proper divisors (785706448).

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

514040000 is an equidigital number, since it uses as much as digits as its factorization.

514040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 514040000 is about 22672.4502425300. The cubic root of 514040000 is about 801.0610919825.

Adding to 514040000 its reverse (40415), we get a palindrome (514080415).

The spelling of 514040000 in words is "five hundred fourteen million, forty thousand".