514042848 has 240 divisors, whose sum is σ = 1674010800. Its totient is φ = 154725120.

The previous prime is 514042819. The next prime is 514042849. The reversal of 514042848 is 848240415.

It is a super-2 number, since 2×514042848² = 528480099159902208, which contains 22 as substring.

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 (514042849) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3449878 + ... + 3450026.

It is an arithmetic number, because the mean of its divisors is an integer number (6975045).

Almost surely, 2^514042848 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 514042848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837005400).

514042848 is an abundant number, since it is smaller than the sum of its proper divisors (1159967952).

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

514042848 is a wasteful number, since it uses less digits than its factorization.

514042848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 514042848 is about 22672.5130499466. The cubic root of 514042848 is about 801.0625713860.

The spelling of 514042848 in words is "five hundred fourteen million, forty-two thousand, eight hundred forty-eight".