4642400 has 72 divisors (see below), whose sum is σ = 12967920. Its totient is φ = 1589760.

The previous prime is 4642399. The next prime is 4642423. The reversal of 4642400 is 42464.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 5186 + ... + 6014.

It is an arithmetic number, because the mean of its divisors is an integer number (180110).

Almost surely, 2^4642400 is an apocalyptic number.

4642400 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 4642400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6483960).

4642400 is an abundant number, since it is smaller than the sum of its proper divisors (8325520).

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

4642400 is a wasteful number, since it uses less digits than its factorization.

4642400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4642400 is about 2154.6229368500. The cubic root of 4642400 is about 166.8197704235.

Adding to 4642400 its reverse (42464), we get a palindrome (4684864).

The spelling of 4642400 in words is "four million, six hundred forty-two thousand, four hundred".