514967040 has 480 divisors, whose sum is σ = 2124435456. Its totient is φ = 112803840.

The previous prime is 514967021. The next prime is 514967087. The reversal of 514967040 is 40769415.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 514966986 and 514967004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4999629 + ... + 4999731.

Almost surely, 2^514967040 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 514967040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062217728).

514967040 is an abundant number, since it is smaller than the sum of its proper divisors (1609468416).

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

514967040 is a wasteful number, since it uses less digits than its factorization.

514967040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 514967040 is about 22692.8852286350. The cubic root of 514967040 is about 801.5423578377.

The spelling of 514967040 in words is "five hundred fourteen million, nine hundred sixty-seven thousand, forty".