4458720 has 96 divisors (see below), whose sum is σ = 16063488. Its totient is φ = 1018368.

The previous prime is 4458697. The next prime is 4458737. The reversal of 4458720 is 278544.

4458720 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) 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 (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2697 + ... + 4023.

It is an arithmetic number, because the mean of its divisors is an integer number (167328).

Almost surely, 2^4458720 is an apocalyptic number.

4458720 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 4458720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8031744).

4458720 is an abundant number, since it is smaller than the sum of its proper divisors (11604768).

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

4458720 is a wasteful number, since it uses less digits than its factorization.

4458720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 4458720 is about 2111.5681376645. The cubic root of 4458720 is about 164.5899828893.

The spelling of 4458720 in words is "four million, four hundred fifty-eight thousand, seven hundred twenty".