4764100 has 72 divisors (see below), whose sum is σ = 11624256. Its totient is φ = 1680000.

The previous prime is 4764043. The next prime is 4764103. The reversal of 4764100 is 14674.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (4764103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67065 + ... + 67135.

It is an arithmetic number, because the mean of its divisors is an integer number (161448).

Almost surely, 2^4764100 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 4764100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5812128).

4764100 is an abundant number, since it is smaller than the sum of its proper divisors (6860156).

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

4764100 is a wasteful number, since it uses less digits than its factorization.

4764100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 4764100 is about 2182.6818366404. The cubic root of 4764100 is about 168.2649353419.

Adding to 4764100 its reverse (14674), we get a palindrome (4778774).

The spelling of 4764100 in words is "four million, seven hundred sixty-four thousand, one hundred".