4612800 has 126 divisors (see below), whose sum is σ = 15637764. Its totient is φ = 1190400.

The previous prime is 4612793. The next prime is 4612807. The reversal of 4612800 is 82164.

It is an interprime number because it is at equal distance from previous prime (4612793) and next prime (4612807).

It is not an unprimeable number, because it can be changed into a prime (4612807) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 148785 + ... + 148815.

Almost surely, 2^4612800 is an apocalyptic number.

4612800 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 4612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7818882).

4612800 is an abundant number, since it is smaller than the sum of its proper divisors (11024964).

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

4612800 is a wasteful number, since it uses less digits than its factorization.

4612800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 4612800 is about 2147.7430013854. The cubic root of 4612800 is about 166.4644658994.

Adding to 4612800 its reverse (82164), we get a palindrome (4694964).

The spelling of 4612800 in words is "four million, six hundred twelve thousand, eight hundred".