514345920 has 224 divisors, whose sum is σ = 1817095680. Its totient is φ = 122204160.

The previous prime is 514345901. The next prime is 514345927. The reversal of 514345920 is 29543415.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (514345927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 559221 + ... + 560139.

Almost surely, 2^514345920 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 514345920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908547840).

514345920 is an abundant number, since it is smaller than the sum of its proper divisors (1302749760).

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

514345920 is a wasteful number, since it uses less digits than its factorization.

514345920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 514345920 is about 22679.1957529362. The cubic root of 514345920 is about 801.2199719731.

The spelling of 514345920 in words is "five hundred fourteen million, three hundred forty-five thousand, nine hundred twenty".