4560400 has 60 divisors (see below), whose sum is σ = 11812612. Its totient is φ = 1681920.

The previous prime is 4560373. The next prime is 4560427. The reversal of 4560400 is 40654.

It is an interprime number because it is at equal distance from previous prime (4560373) and next prime (4560427).

It can be written as a sum of positive squares in 6 ways, for example, as 99856 + 4460544 = 316^2 + 2112^2 .

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, 4762 + ... + 5638.

Almost surely, 2^4560400 is an apocalyptic number.

4560400 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 4560400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5906306).

4560400 is an abundant number, since it is smaller than the sum of its proper divisors (7252212).

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

4560400 is a wasteful number, since it uses less digits than its factorization.

4560400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 4560400 is about 2135.5093069336. The cubic root of 4560400 is about 165.8317354346.

The spelling of 4560400 in words is "four million, five hundred sixty thousand, four hundred".