4545600 has 84 divisors (see below), whose sum is σ = 14929104. Its totient is φ = 1210880.

The previous prime is 4545599. The next prime is 4545601. The reversal of 4545600 is 65454.

It is an interprime number because it is at equal distance from previous prime (4545599) and next prime (4545601).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (4545601) 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, 4327 + ... + 5273.

Almost surely, 2^4545600 is an apocalyptic number.

4545600 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 4545600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7464552).

4545600 is an abundant number, since it is smaller than the sum of its proper divisors (10383504).

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

4545600 is a wasteful number, since it uses less digits than its factorization.

4545600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 4545600 is about 2132.0412753978. The cubic root of 4545600 is about 165.6521481545.

The spelling of 4545600 in words is "four million, five hundred forty-five thousand, six hundred".