4672100 has 36 divisors (see below), whose sum is σ = 10676400. Its totient is φ = 1769760.

The previous prime is 4672099. The next prime is 4672117. The reversal of 4672100 is 12764.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a nialpdrome in base 13.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 671 + ... + 3129.

Almost surely, 2^4672100 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 4672100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5338200).

4672100 is an abundant number, since it is smaller than the sum of its proper divisors (6004300).

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

4672100 is a wasteful number, since it uses less digits than its factorization.

4672100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2492 (or 2485 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 4672100 is about 2161.5041059410. The cubic root of 4672100 is about 167.1747605805.

Subtracting from 4672100 its product of nonzero digits (336), we obtain a palindrome (4671764).

Adding to 4672100 its reverse (12764), we get a palindrome (4684864).

It can be divided in two parts, 467 and 2100, that multiplied together give a triangular number (980700 = T₁₄₀₀).

The spelling of 4672100 in words is "four million, six hundred seventy-two thousand, one hundred".