4666400 has 72 divisors (see below), whose sum is σ = 12030480. Its totient is φ = 1762560.

The previous prime is 4666397. The next prime is 4666421. The reversal of 4666400 is 46664.

4666400 is nontrivially palindromic in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 4666400.

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, 15047 + ... + 15353.

It is an arithmetic number, because the mean of its divisors is an integer number (167090).

Almost surely, 2^4666400 is an apocalyptic number.

4666400 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 4666400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6015240).

4666400 is an abundant number, since it is smaller than the sum of its proper divisors (7364080).

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

4666400 is a wasteful number, since it uses less digits than its factorization.

4666400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 4666400 is about 2160.1851772475. The cubic root of 4666400 is about 167.1067480585.

Multiplying 4666400 by its reverse (46664), we get a square (217752889600 = 466640²).

4666400 divided by its reverse (46664) gives a square (100 = 10²).

The spelling of 4666400 in words is "four million, six hundred sixty-six thousand, four hundred".