4726560 has 96 divisors (see below), whose sum is σ = 15301440. Its totient is φ = 1225728.

The previous prime is 4726543. The next prime is 4726583. The reversal of 4726560 is 656274.

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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20526 + ... + 20754.

It is an arithmetic number, because the mean of its divisors is an integer number (159390).

Almost surely, 2^4726560 is an apocalyptic number.

4726560 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 4726560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7650720).

4726560 is an abundant number, since it is smaller than the sum of its proper divisors (10574880).

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

4726560 is a wasteful number, since it uses less digits than its factorization.

4726560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 4726560 is about 2174.0653164061. The cubic root of 4726560 is about 167.8218065262.

The spelling of 4726560 in words is "four million, seven hundred twenty-six thousand, five hundred sixty".