514356480 has 540 divisors, whose sum is σ = 2072327796. Its totient is φ = 121651200.

The previous prime is 514356473. The next prime is 514356487. The reversal of 514356480 is 84653415.

It is a happy number.

514356480 is a `hidden beast` number, since 5 + 1 + 4 + 3 + 5 + 648 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (514356473) and next prime (514356487).

It can be written as a sum of positive squares in 2 ways, for example, as 90326016 + 424030464 = 9504^2 + 20592^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (514356487) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12545260 + ... + 12545300.

Almost surely, 2^514356480 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 514356480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036163898).

514356480 is an abundant number, since it is smaller than the sum of its proper divisors (1557971316).

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

514356480 is a wasteful number, since it uses less digits than its factorization.

514356480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 514356480 is about 22679.4285642297. The cubic root of 514356480 is about 801.2254551993.

The spelling of 514356480 in words is "five hundred fourteen million, three hundred fifty-six thousand, four hundred eighty".