4664400 has 180 divisors, whose sum is σ = 16882848. Its totient is φ = 1098240.

The previous prime is 4664399. The next prime is 4664419. The reversal of 4664400 is 44664.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 13.

It is a congruent number.

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, 202789 + ... + 202811.

Almost surely, 2^4664400 is an apocalyptic number.

4664400 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 4664400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8441424).

4664400 is an abundant number, since it is smaller than the sum of its proper divisors (12218448).

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

4664400 is a wasteful number, since it uses less digits than its factorization.

4664400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 4664400 is about 2159.7222043587. The cubic root of 4664400 is about 167.0828708902.

It can be divided in two parts, 46 and 64400, that added together give a palindrome (64446).

The spelling of 4664400 in words is "four million, six hundred sixty-four thousand, four hundred".