514076976 has 160 divisors (see below), whose sum is σ = 1722746880. Its totient is φ = 143714304.

The previous prime is 514076963. The next prime is 514077007. The reversal of 514076976 is 679670415.

It is a happy number.

514076976 is a `hidden beast` number, since 514 + 0 + 7 + 69 + 76 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140320 + ... + 143936.

It is an arithmetic number, because the mean of its divisors is an integer number (10767168).

Almost surely, 2^514076976 is an apocalyptic number.

514076976 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 514076976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861373440).

514076976 is an abundant number, since it is smaller than the sum of its proper divisors (1208669904).

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

514076976 is a wasteful number, since it uses less digits than its factorization.

514076976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3688 (or 3676 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 514076976 is about 22673.2656668597. The cubic root of 514076976 is about 801.0802988696.

The spelling of 514076976 in words is "five hundred fourteen million, seventy-six thousand, nine hundred seventy-six".