514473120 has 480 divisors, whose sum is σ = 2133952128. Its totient is φ = 114296832.

The previous prime is 514473119. The next prime is 514473149. The reversal of 514473120 is 21374415.

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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4808107 + ... + 4808213.

Almost surely, 2^514473120 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 514473120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066976064).

514473120 is an abundant number, since it is smaller than the sum of its proper divisors (1619479008).

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

514473120 is a wasteful number, since it uses less digits than its factorization.

514473120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 514473120 is about 22681.9999118244. Note that the first 4 decimals coincide. The cubic root of 514473120 is about 801.2860149326.

The spelling of 514473120 in words is "five hundred fourteen million, four hundred seventy-three thousand, one hundred twenty".