418152 has 64 divisors (see below), whose sum is σ = 1267200. Its totient is φ = 112320.

The previous prime is 418129. The next prime is 418157. The reversal of 418152 is 251814.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 418152.

It is not an unprimeable number, because it can be changed into a prime (418157) by changing a digit.

418152 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3127 + ... + 3257.

It is an arithmetic number, because the mean of its divisors is an integer number (19800).

2⁴¹⁸¹⁵² is an apocalyptic number.

418152 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 418152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633600).

418152 is an abundant number, since it is smaller than the sum of its proper divisors (849048).

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

418152 is a wasteful number, since it uses less digits than its factorization.

418152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 162 counting only the distinct ones).

The product of its digits is 320, while the sum is 21.

The square root of 418152 is about 646.6467350880. The cubic root of 418152 is about 74.7787255883.

Adding to 418152 its reverse (251814), we get a palindrome (669966).

It can be divided in two parts, 418 and 152, that multiplied together give a palindrome (63536).

The spelling of 418152 in words is "four hundred eighteen thousand, one hundred fifty-two".