4618152 has 192 divisors, whose sum is σ = 16848000. Its totient is φ = 1128960.

The previous prime is 4618139. The next prime is 4618153. The reversal of 4618152 is 2518164.

4618152 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (1920) is a multiple of the sum of its prime divisors (40).

4618152 is strictly pandigital in base 8.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (4618153) 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, 271648 + ... + 271664.

It is an arithmetic number, because the mean of its divisors is an integer number (87750).

Almost surely, 2^4618152 is an apocalyptic number.

4618152 is a gapful number since it is divisible by the number (42) 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 4618152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8424000).

4618152 is an abundant number, since it is smaller than the sum of its proper divisors (12229848).

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

4618152 is a wasteful number, since it uses less digits than its factorization.

4618152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 40 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 4618152 is about 2148.9885993183. The cubic root of 4618152 is about 166.5288211342.

The spelling of 4618152 in words is "four million, six hundred eighteen thousand, one hundred fifty-two".