4538960 has 20 divisors (see below), whose sum is σ = 10553268. Its totient is φ = 1815552.

The previous prime is 4538957. The next prime is 4538969. The reversal of 4538960 is 698354.

It can be written as a sum of positive squares in 2 ways, for example, as 2155024 + 2383936 = 1468^2 + 1544^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 4538960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4538969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28289 + ... + 28448.

Almost surely, 2^4538960 is an apocalyptic number.

4538960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4538960 is an abundant number, since it is smaller than the sum of its proper divisors (6014308).

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

4538960 is a wasteful number, since it uses less digits than its factorization.

4538960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56750 (or 56744 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 4538960 is about 2130.4835131960. The cubic root of 4538960 is about 165.5714498768.

Subtracting from 4538960 its reverse (698354), we obtain a triangular number (3840606 = T₂₇₇₁).

The spelling of 4538960 in words is "four million, five hundred thirty-eight thousand, nine hundred sixty".