514393344 has 216 divisors, whose sum is σ = 1641511872. Its totient is φ = 154091520.

The previous prime is 514393343. The next prime is 514393357. The reversal of 514393344 is 443393415.

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

It is a junction number, because it is equal to n+sod(n) for n = 514393299 and 514393308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (514393343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 900579 + ... + 901149.

It is an arithmetic number, because the mean of its divisors is an integer number (7599592).

Almost surely, 2^514393344 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 514393344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820755936).

514393344 is an abundant number, since it is smaller than the sum of its proper divisors (1127118528).

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

514393344 is a wasteful number, since it uses less digits than its factorization.

514393344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 616 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 514393344 is about 22680.2412685580. The cubic root of 514393344 is about 801.2445960550.

The spelling of 514393344 in words is "five hundred fourteen million, three hundred ninety-three thousand, three hundred forty-four".