514463040 has 504 divisors, whose sum is σ = 2204362368. Its totient is φ = 107827200.

The previous prime is 514463029. The next prime is 514463041. The reversal of 514463040 is 40364415.

It is a tau number, because it is divible by the number of its divisors (504).

It is a junction number, because it is equal to n+sod(n) for n = 514462995 and 514463013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (514463041) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3406965 + ... + 3407115.

Almost surely, 2^514463040 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 514463040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1102181184).

514463040 is an abundant number, since it is smaller than the sum of its proper divisors (1689899328).

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

514463040 is a wasteful number, since it uses less digits than its factorization.

514463040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 514463040 is about 22681.7777081074. Note that the first 4 decimals coincide. The cubic root of 514463040 is about 801.2807817367.

The spelling of 514463040 in words is "five hundred fourteen million, four hundred sixty-three thousand, forty".