4649760 has 72 divisors (see below), whose sum is σ = 15872220. Its totient is φ = 1239552.

The previous prime is 4649759. The next prime is 4649779. The reversal of 4649760 is 679464.

4649760 is a `hidden beast` number, since 4 + 649 + 7 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4511376 + 138384 = 2124^2 + 372^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 175 + ... + 3054.

Almost surely, 2^4649760 is an apocalyptic number.

4649760 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 4649760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7936110).

4649760 is an abundant number, since it is smaller than the sum of its proper divisors (11222460).

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

4649760 is a wasteful number, since it uses less digits than its factorization.

4649760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3250 (or 3239 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 4649760 is about 2156.3302158992. The cubic root of 4649760 is about 166.9078818341.

The spelling of 4649760 in words is "four million, six hundred forty-nine thousand, seven hundred sixty".