415350 has 72 divisors (see below), whose sum is σ = 1218672. Its totient is φ = 100800.

The previous prime is 415343. The next prime is 415379. The reversal of 415350 is 53514.

415350 is an esthetic number in base 16, because in such base its adjacent digits differ by 1.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 15.

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 415350.

It is an unprimeable number.

415350 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 35 ways as a sum of consecutive naturals, for example, 5815 + ... + 5885.

It is an arithmetic number, because the mean of its divisors is an integer number (16926).

2⁴¹⁵³⁵⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 415350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609336).

415350 is an abundant number, since it is smaller than the sum of its proper divisors (803322).

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

415350 is a wasteful number, since it uses less digits than its factorization.

415350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 415350 is about 644.4765317682. The cubic root of 415350 is about 74.6113225440.

Adding to 415350 its reverse (53514), we get a palindrome (468864).

The spelling of 415350 in words is "four hundred fifteen thousand, three hundred fifty".