4640100 has 36 divisors (see below), whose sum is σ = 13426224. Its totient is φ = 1237280.

The previous prime is 4640081. The next prime is 4640113. The reversal of 4640100 is 10464.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 4640100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7434 + ... + 8033.

Almost surely, 2^4640100 is an apocalyptic number.

It is an amenable number.

4640100 is an abundant number, since it is smaller than the sum of its proper divisors (8786124).

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

4640100 is a wasteful number, since it uses less digits than its factorization.

4640100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15484 (or 15477 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 4640100 is about 2154.0891346460. The cubic root of 4640100 is about 166.7922165108.

Adding to 4640100 its reverse (10464), we get a palindrome (4650564).

The spelling of 4640100 in words is "four million, six hundred forty thousand, one hundred".