4656900 has 108 divisors (see below), whose sum is σ = 14551152. Its totient is φ = 1149120.

The previous prime is 4656893. The next prime is 4656937. The reversal of 4656900 is 96564.

It is a super-2 number, since 2×4656900² = 43373435220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 108279 + ... + 108321.

Almost surely, 2^4656900 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 4656900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7275576).

4656900 is an abundant number, since it is smaller than the sum of its proper divisors (9894252).

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

4656900 is a wasteful number, since it uses less digits than its factorization.

4656900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 4656900 is about 2157.9851714041. The cubic root of 4656900 is about 166.9932706720.

The spelling of 4656900 in words is "four million, six hundred fifty-six thousand, nine hundred".