4457538 has 64 divisors (see below), whose sum is σ = 10725120. Its totient is φ = 1368576.

The previous prime is 4457507. The next prime is 4457539. The reversal of 4457538 is 8357544.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a d-powerful number, because it can be written as 4⁹ + 4¹¹ + 5 + 7³ + 5 + 3⁶ + 8 .

Its product of digits (67200) is a multiple of the sum of its prime factors (168).

It is not an unprimeable number, because it can be changed into a prime (4457539) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45906 + ... + 46002.

It is an arithmetic number, because the mean of its divisors is an integer number (167580).

Almost surely, 2^4457538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4457538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5362560).

4457538 is an abundant number, since it is smaller than the sum of its proper divisors (6267582).

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

4457538 is a wasteful number, since it uses less digits than its factorization.

4457538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 162 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 4457538 is about 2111.2882323359. The cubic root of 4457538 is about 164.5754374178.

The spelling of 4457538 in words is "four million, four hundred fifty-seven thousand, five hundred thirty-eight".