514964016 has 120 divisors (see below), whose sum is σ = 1651706784. Its totient is φ = 146718720.

The previous prime is 514963993. The next prime is 514964029. The reversal of 514964016 is 610469415.

514964016 is a `hidden beast` number, since 5 + 1 + 4 + 9 + 640 + 1 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 645730 + ... + 646526.

Almost surely, 2^514964016 is an apocalyptic number.

514964016 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 514964016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825853392).

514964016 is an abundant number, since it is smaller than the sum of its proper divisors (1136742768).

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

514964016 is a wasteful number, since it uses less digits than its factorization.

514964016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 514964016 is about 22692.8185997245. The cubic root of 514964016 is about 801.5407888902.

The spelling of 514964016 in words is "five hundred fourteen million, nine hundred sixty-four thousand, sixteen".