514790640 has 560 divisors, whose sum is σ = 2231398848. Its totient is φ = 107495424.

The previous prime is 514790609. The next prime is 514790641. The reversal of 514790640 is 46097415.

514790640 is a `hidden beast` number, since 5 + 1 + 4 + 7 + 9 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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 = 514790595 and 514790604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (514790641) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5307072 + ... + 5307168.

Almost surely, 2^514790640 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 514790640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1115699424).

514790640 is an abundant number, since it is smaller than the sum of its proper divisors (1716608208).

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

514790640 is a wasteful number, since it uses less digits than its factorization.

514790640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 127 counting only the distinct ones).

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

The square root of 514790640 is about 22688.9982149940. The cubic root of 514790640 is about 801.4508256241.

The spelling of 514790640 in words is "five hundred fourteen million, seven hundred ninety thousand, six hundred forty".