414480348 has 96 divisors (see below), whose sum is σ = 1096603200. Its totient is φ = 135364608.

The previous prime is 414480329. The next prime is 414480359. The reversal of 414480348 is 843084414.

It is a super-2 number, since 2×414480348² = 343587917756402208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1612636 + ... + 1612892.

It is an arithmetic number, because the mean of its divisors is an integer number (11422950).

Almost surely, 2^414480348 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414480348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548301600).

414480348 is an abundant number, since it is smaller than the sum of its proper divisors (682122852).

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

414480348 is a wasteful number, since it uses less digits than its factorization.

414480348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 414480348 is about 20358.7904355833. The cubic root of 414480348 is about 745.5921289816.

The spelling of 414480348 in words is "four hundred fourteen million, four hundred eighty thousand, three hundred forty-eight".