514140000 has 480 divisors, whose sum is σ = 1983864960. Its totient is φ = 115200000.

The previous prime is 514139987. The next prime is 514140007. The reversal of 514140000 is 41415.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (514140007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12539980 + ... + 12540020.

It is an arithmetic number, because the mean of its divisors is an integer number (4133052).

Almost surely, 2^514140000 is an apocalyptic number.

514140000 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 514140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991932480).

514140000 is an abundant number, since it is smaller than the sum of its proper divisors (1469724960).

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

514140000 is a wasteful number, since it uses less digits than its factorization.

514140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 514140000 is about 22674.6554549347. The cubic root of 514140000 is about 801.1130340591.

Adding to 514140000 its reverse (41415), we get a palindrome (514181415).

The spelling of 514140000 in words is "five hundred fourteen million, one hundred forty thousand".