415435120 has 80 divisors (see below), whose sum is σ = 1027621728. Its totient is φ = 155648000.

The previous prime is 415435117. The next prime is 415435151. The reversal of 415435120 is 21534514.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable 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 15 ways as a sum of consecutive naturals, for example, 340752 + ... + 341968.

Almost surely, 2^415435120 is an apocalyptic number.

415435120 is a gapful number since it is divisible by the number (40) 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 415435120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513810864).

415435120 is an abundant number, since it is smaller than the sum of its proper divisors (612186608).

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

415435120 is a wasteful number, since it uses less digits than its factorization.

415435120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 415435120 is about 20382.2255899595. The cubic root of 415435120 is about 746.1641903452.

Adding to 415435120 its reverse (21534514), we get a palindrome (436969634).

The spelling of 415435120 in words is "four hundred fifteen million, four hundred thirty-five thousand, one hundred twenty".