4576400 has 60 divisors (see below), whose sum is σ = 11658852. Its totient is φ = 1720320.

The previous prime is 4576381. The next prime is 4576409. The reversal of 4576400 is 46754.

It can be written as a sum of positive squares in 6 ways, for example, as 30976 + 4545424 = 176^2 + 2132^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4576400.

It is not an unprimeable number, because it can be changed into a prime (4576409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6464 + ... + 7136.

Almost surely, 2^4576400 is an apocalyptic number.

4576400 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 4576400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5829426).

4576400 is an abundant number, since it is smaller than the sum of its proper divisors (7082452).

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

4576400 is a wasteful number, since it uses less digits than its factorization.

4576400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 697 counting only the distinct ones).

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

The square root of 4576400 is about 2139.2522057953. The cubic root of 4576400 is about 166.0254473012.

The spelling of 4576400 in words is "four million, five hundred seventy-six thousand, four hundred".