514744416 has 96 divisors (see below), whose sum is σ = 1566673920. Its totient is φ = 164115072.

The previous prime is 514744387. The next prime is 514744421. The reversal of 514744416 is 614447415.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6921 + ... + 32823.

It is an arithmetic number, because the mean of its divisors is an integer number (16319520).

Almost surely, 2^514744416 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 514744416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783336960).

514744416 is an abundant number, since it is smaller than the sum of its proper divisors (1051929504).

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

514744416 is a wasteful number, since it uses less digits than its factorization.

514744416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25945 (or 25931 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 514744416 is about 22687.9795486509. The cubic root of 514744416 is about 801.4268369906.

The spelling of 514744416 in words is "five hundred fourteen million, seven hundred forty-four thousand, four hundred sixteen".