514965408 has 96 divisors (see below), whose sum is σ = 1401696576. Its totient is φ = 165408768.

The previous prime is 514965401. The next prime is 514965419. The reversal of 514965408 is 804569415.

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

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 514965408.

It is not an unprimeable number, because it can be changed into a prime (514965401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 400735 + ... + 402017.

It is an arithmetic number, because the mean of its divisors is an integer number (14601006).

Almost surely, 2^514965408 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 514965408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700848288).

514965408 is an abundant number, since it is smaller than the sum of its proper divisors (886731168).

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

514965408 is a wasteful number, since it uses less digits than its factorization.

514965408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 514965408 is about 22692.8492701996. The cubic root of 514965408 is about 801.5415111049.

The spelling of 514965408 in words is "five hundred fourteen million, nine hundred sixty-five thousand, four hundred eight".