4657080 has 48 divisors (see below), whose sum is σ = 14042520. Its totient is φ = 1235584.

The previous prime is 4657061. The next prime is 4657117. The reversal of 4657080 is 807564.

It is a happy number.

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 11 ways as a sum of consecutive naturals, for example, 23542 + ... + 23738.

Almost surely, 2^4657080 is an apocalyptic number.

4657080 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 4657080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7021260).

4657080 is an abundant number, since it is smaller than the sum of its proper divisors (9385440).

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

4657080 is a wasteful number, since it uses less digits than its factorization.

4657080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 4657080 is about 2158.0268765704. The cubic root of 4657080 is about 166.9954222035.

Multiplying 4657080 by its sum of digits (30), we get a square (139712400 = 11820²).

4657080 divided by its sum of digits (30) gives a square (155236 = 394²).

The spelling of 4657080 in words is "four million, six hundred fifty-seven thousand, eighty".