514024056 has 320 divisors, whose sum is σ = 1853913600. Its totient is φ = 129330432.

The previous prime is 514024037. The next prime is 514024057. The reversal of 514024056 is 650420415.

It is a super-2 number, since 2×514024056² = 528441460293382272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (514024057) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1356075 + ... + 1356453.

It is an arithmetic number, because the mean of its divisors is an integer number (5793480).

Almost surely, 2^514024056 is an apocalyptic number.

514024056 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 514024056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926956800).

514024056 is an abundant number, since it is smaller than the sum of its proper divisors (1339889544).

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

514024056 is a wasteful number, since it uses less digits than its factorization.

514024056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 514024056 is about 22672.0986236387. The cubic root of 514024056 is about 801.0528097152.

The spelling of 514024056 in words is "five hundred fourteen million, twenty-four thousand, fifty-six".