514741920 has 384 divisors, whose sum is σ = 2130831360. Its totient is φ = 101191680.

The previous prime is 514741897. The next prime is 514741933. The reversal of 514741920 is 29147415.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 701874 + ... + 702606.

It is an arithmetic number, because the mean of its divisors is an integer number (5549040).

Almost surely, 2^514741920 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 514741920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1065415680).

514741920 is an abundant number, since it is smaller than the sum of its proper divisors (1616089440).

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

514741920 is a wasteful number, since it uses less digits than its factorization.

514741920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 514741920 is about 22687.9245414824. The cubic root of 514741920 is about 801.4255416134.

The spelling of 514741920 in words is "five hundred fourteen million, seven hundred forty-one thousand, nine hundred twenty".