4145600 has 42 divisors (see below), whose sum is σ = 10204704. Its totient is φ = 1657600.

The previous prime is 4145567. The next prime is 4145611. The reversal of 4145600 is 65414.

It is a happy number.

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 5 ways as a sum of consecutive naturals, for example, 305 + ... + 2895.

Almost surely, 2^4145600 is an apocalyptic number.

4145600 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 4145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5102352).

4145600 is an abundant number, since it is smaller than the sum of its proper divisors (6059104).

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

4145600 is a wasteful number, since it uses less digits than its factorization.

4145600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2613 (or 2598 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 4145600 is about 2036.0746548199. The cubic root of 4145600 is about 160.6432438513.

The spelling of 4145600 in words is "four million, one hundred forty-five thousand, six hundred".