514064448 has 112 divisors (see below), whose sum is σ = 1516806720. Its totient is φ = 170726400.

The previous prime is 514064443. The next prime is 514064461. The reversal of 514064448 is 844460415.

It is a happy number.

514064448 is a `hidden beast` number, since 5 + 1 + 4 + 0 + 644 + 4 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (514064443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 900003 + ... + 900573.

Almost surely, 2^514064448 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 514064448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758403360).

514064448 is an abundant number, since it is smaller than the sum of its proper divisors (1002742272).

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

514064448 is a wasteful number, since it uses less digits than its factorization.

514064448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 514064448 is about 22672.9893926672. The cubic root of 514064448 is about 801.0737914035.

The spelling of 514064448 in words is "five hundred fourteen million, sixty-four thousand, four hundred forty-eight".