4578100 has 36 divisors (see below), whose sum is σ = 10522764. Its totient is φ = 1722880.

The previous prime is 4578097. The next prime is 4578103. The reversal of 4578100 is 18754.

It is an interprime number because it is at equal distance from previous prime (4578097) and next prime (4578103).

It can be written as a sum of positive squares in 6 ways, for example, as 7056 + 4571044 = 84^2 + 2138^2 .

It is a super-2 number, since 2×4578100² = 41917999220000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4578103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 354 + ... + 3046.

It is an arithmetic number, because the mean of its divisors is an integer number (292299).

Almost surely, 2^4578100 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 4578100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5261382).

4578100 is an abundant number, since it is smaller than the sum of its proper divisors (5944664).

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

4578100 is a wasteful number, since it uses less digits than its factorization.

4578100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2724 (or 2717 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 4578100 is about 2139.6495040076. The cubic root of 4578100 is about 166.0460026372.

The spelling of 4578100 in words is "four million, five hundred seventy-eight thousand, one hundred".