4538500 has 48 divisors (see below), whose sum is σ = 10286640. Its totient is φ = 1747200.

The previous prime is 4538497. The next prime is 4538503. The reversal of 4538500 is 58354.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4538497) and next prime (4538503).

It can be written as a sum of positive squares in 8 ways, for example, as 2985984 + 1552516 = 1728^2 + 1246^2 .

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (4538503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14344 + ... + 14656.

It is an arithmetic number, because the mean of its divisors is an integer number (214305).

Almost surely, 2^4538500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4538500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5143320).

4538500 is an abundant number, since it is smaller than the sum of its proper divisors (5748140).

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

4538500 is a wasteful number, since it uses less digits than its factorization.

4538500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 4538500 is about 2130.3755537463. The cubic root of 4538500 is about 165.5658564192.

The spelling of 4538500 in words is "four million, five hundred thirty-eight thousand, five hundred".