4725864 has 192 divisors, whose sum is σ = 16511040. Its totient is φ = 1244160.

The previous prime is 4725863. The next prime is 4725883. The reversal of 4725864 is 4685274.

4725864 is a `hidden beast` number, since 4 + 72 + 586 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 4⁶ + 7 + 2¹⁹ + 5⁵ + 8 + 6² + 4¹¹ .

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (4725863) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 277984 + ... + 278000.

It is an arithmetic number, because the mean of its divisors is an integer number (85995).

Almost surely, 2^4725864 is an apocalyptic number.

4725864 is a gapful number since it is divisible by the number (44) 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 4725864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8255520).

4725864 is an abundant number, since it is smaller than the sum of its proper divisors (11785176).

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

4725864 is a wasteful number, since it uses less digits than its factorization.

4725864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 46 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 4725864 is about 2173.9052417251. The cubic root of 4725864 is about 167.8135687020.

It can be divided in two parts, 472 and 5864, that added together give a palindrome (6336).

The spelling of 4725864 in words is "four million, seven hundred twenty-five thousand, eight hundred sixty-four".