405150 has 48 divisors (see below), whose sum is σ = 1046064. Its totient is φ = 103680.

The previous prime is 405143. The next prime is 405157. The reversal of 405150 is 51504.

405150 is nontrivially palindromic in base 9.

It is an interprime number because it is at equal distance from previous prime (405143) and next prime (405157).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5514 + ... + 5586.

It is an arithmetic number, because the mean of its divisors is an integer number (21793).

2⁴⁰⁵¹⁵⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523032).

405150 is an abundant number, since it is smaller than the sum of its proper divisors (640914).

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

405150 is a wasteful number, since it uses less digits than its factorization.

405150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 405150 is about 636.5139432880. The cubic root of 405150 is about 73.9954952213.

Adding to 405150 its reverse (51504), we get a palindrome (456654).

It can be divided in two parts, 405 and 150, that added together give a palindrome (555).

The spelling of 405150 in words is "four hundred five thousand, one hundred fifty".