4465760 has 96 divisors (see below), whose sum is σ = 12065760. Its totient is φ = 1548288.

The previous prime is 4465733. The next prime is 4465763. The reversal of 4465760 is 675644.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4465763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39464 + ... + 39576.

It is an arithmetic number, because the mean of its divisors is an integer number (125685).

Almost surely, 2^4465760 is an apocalyptic number.

4465760 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 4465760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6032880).

4465760 is an abundant number, since it is smaller than the sum of its proper divisors (7600000).

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

4465760 is a wasteful number, since it uses less digits than its factorization.

4465760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 4465760 is about 2113.2344876989. The cubic root of 4465760 is about 164.6765626082.

It can be divided in two parts, 4465 and 760, that added together give a palindrome (5225).

The spelling of 4465760 in words is "four million, four hundred sixty-five thousand, seven hundred sixty".