4465800 has 96 divisors (see below), whose sum is σ = 15400800. Its totient is φ = 1189440.

The previous prime is 4465787. The next prime is 4465801. The reversal of 4465800 is 85644.

4465800 is a `hidden beast` number, since 4 + 4 + 658 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4465801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4987 + ... + 5813.

It is an arithmetic number, because the mean of its divisors is an integer number (160425).

Almost surely, 2^4465800 is an apocalyptic number.

4465800 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 4465800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7700400).

4465800 is an abundant number, since it is smaller than the sum of its proper divisors (10935000).

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

4465800 is a wasteful number, since it uses less digits than its factorization.

4465800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4465800 is about 2113.2439518428. The cubic root of 4465800 is about 164.6770542783.

The spelling of 4465800 in words is "four million, four hundred sixty-five thousand, eight hundred".