4656400 has 60 divisors (see below), whose sum is σ = 12792832. Its totient is φ = 1595520.

The previous prime is 4656397. The next prime is 4656409. The reversal of 4656400 is 46564.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4656409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1969 + ... + 3631.

Almost surely, 2^4656400 is an apocalyptic number.

4656400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4656400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6396416).

4656400 is an abundant number, since it is smaller than the sum of its proper divisors (8136432).

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

4656400 is a wasteful number, since it uses less digits than its factorization.

4656400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1688 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 4656400 is about 2157.8693194909. The cubic root of 4656400 is about 166.9872939046.

Multiplying 4656400 by its reverse (46564), we get a square (216820609600 = 465640²).

4656400 divided by its reverse (46564) gives a square (100 = 10²).

The spelling of 4656400 in words is "four million, six hundred fifty-six thousand, four hundred".