4690294560 has 576 divisors, whose sum is σ = 19632098304. Its totient is φ = 995328000.

The previous prime is 4690294501. The next prime is 4690294579. The reversal of 4690294560 is 654920964.

4690294560 is a `hidden beast` number, since 4 + 69 + 0 + 29 + 4 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17307225 + ... + 17307495.

It is an arithmetic number, because the mean of its divisors is an integer number (34083504).

Almost surely, 2^4690294560 is an apocalyptic number.

4690294560 is a gapful number since it is divisible by the number (40) 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 4690294560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9816049152).

4690294560 is an abundant number, since it is smaller than the sum of its proper divisors (14941803744).

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

4690294560 is a wasteful number, since it uses less digits than its factorization.

4690294560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 4690294560 is about 68485.7252279627. The cubic root of 4690294560 is about 1673.9148905655.

The spelling of 4690294560 in words is "four billion, six hundred ninety million, two hundred ninety-four thousand, five hundred sixty".