4657400 has 96 divisors (see below), whose sum is σ = 12387600. Its totient is φ = 1612800.

The previous prime is 4657397. The next prime is 4657417. The reversal of 4657400 is 47564.

It is a self number, because there is not a number n which added to its sum of digits gives 4657400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63764 + ... + 63836.

Almost surely, 2^4657400 is an apocalyptic number.

4657400 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 4657400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6193800).

4657400 is an abundant number, since it is smaller than the sum of its proper divisors (7730200).

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

4657400 is a wasteful number, since it uses less digits than its factorization.

4657400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 4657400 is about 2158.1010170981. The cubic root of 4657400 is about 166.9992470116. Note that the first 3 decimals are identical.

The spelling of 4657400 in words is "four million, six hundred fifty-seven thousand, four hundred".