514788120 has 384 divisors, whose sum is σ = 2134080000. Its totient is φ = 106686720.

The previous prime is 514788119. The next prime is 514788121. The reversal of 514788120 is 21887415.

It is an interprime number because it is at equal distance from previous prime (514788119) and next prime (514788121).

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 (514788121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1358091 + ... + 1358469.

It is an arithmetic number, because the mean of its divisors is an integer number (5557500).

Almost surely, 2^514788120 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 514788120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1067040000).

514788120 is an abundant number, since it is smaller than the sum of its proper divisors (1619291880).

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

514788120 is a wasteful number, since it uses less digits than its factorization.

514788120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 514788120 is about 22688.9426814032. The cubic root of 514788120 is about 801.4495178695.

The spelling of 514788120 in words is "five hundred fourteen million, seven hundred eighty-eight thousand, one hundred twenty".