4895100 has 216 divisors, whose sum is σ = 18800880. Its totient is φ = 1088640.

The previous prime is 4895071. The next prime is 4895119. The reversal of 4895100 is 15984.

4895100 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 132282 + ... + 132318.

Almost surely, 2^4895100 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 4895100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9400440).

4895100 is an abundant number, since it is smaller than the sum of its proper divisors (13905780).

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

4895100 is a wasteful number, since it uses less digits than its factorization.

4895100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 4895100 is about 2212.4872880991. The cubic root of 4895100 is about 169.7932896997.

Multiplying 4895100 by its reverse (15984), we get a square (78243278400 = 279720²).

The spelling of 4895100 in words is "four million, eight hundred ninety-five thousand, one hundred".