4758640 has 40 divisors (see below), whose sum is σ = 11718000. Its totient is φ = 1790976.

The previous prime is 4758629. The next prime is 4758643. The reversal of 4758640 is 468574.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 4758596 and 4758605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4758643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 390 + ... + 3109.

It is an arithmetic number, because the mean of its divisors is an integer number (292950).

Almost surely, 2^4758640 is an apocalyptic number.

4758640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4758640 is an abundant number, since it is smaller than the sum of its proper divisors (6959360).

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

4758640 is a wasteful number, since it uses less digits than its factorization.

4758640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3529 (or 3523 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 4758640 is about 2181.4307231723. The cubic root of 4758640 is about 168.2006295447.

The spelling of 4758640 in words is "four million, seven hundred fifty-eight thousand, six hundred forty".