4465440 has 144 divisors (see below), whose sum is σ = 17454528. Its totient is φ = 1018368.

The previous prime is 4465429. The next prime is 4465453. The reversal of 4465440 is 445644.

4465440 is a `hidden beast` number, since 4 + 4 + 654 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9859 + ... + 10301.

It is an arithmetic number, because the mean of its divisors is an integer number (121212).

Almost surely, 2^4465440 is an apocalyptic number.

4465440 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 4465440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8727264).

4465440 is an abundant number, since it is smaller than the sum of its proper divisors (12989088).

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

4465440 is a wasteful number, since it uses less digits than its factorization.

4465440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 4465440 is about 2113.1587730220. The cubic root of 4465440 is about 164.6726291412.

It can be divided in two parts, 446 and 5440, that added together give a triangular number (5886 = T₁₀₈).

The spelling of 4465440 in words is "four million, four hundred sixty-five thousand, four hundred forty".