414152 has 8 divisors (see below), whose sum is σ = 776550. Its totient is φ = 207072.

The previous prime is 414131. The next prime is 414157. The reversal of 414152 is 251414.

It can be written as a sum of positive squares in only one way, i.e., 343396 + 70756 = 586^2 + 266^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 414152.

It is not an unprimeable number, because it can be changed into a prime (414157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25877 + ... + 25892.

2⁴¹⁴¹⁵² is an apocalyptic number.

It is an amenable number.

414152 is a deficient number, since it is larger than the sum of its proper divisors (362398).

414152 is a wasteful number, since it uses less digits than its factorization.

414152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51775 (or 51771 counting only the distinct ones).

The product of its digits is 160, while the sum is 17.

The square root of 414152 is about 643.5464241218. The cubic root of 414152 is about 74.5395192938.

Adding to 414152 its reverse (251414), we get a palindrome (665566).

The spelling of 414152 in words is "four hundred fourteen thousand, one hundred fifty-two".