415236096 has 138 divisors (see below), whose sum is σ = 1308622692. Its totient is φ = 125829120.

The previous prime is 415236083. The next prime is 415236097. The reversal of 415236096 is 690632514.

It is a happy number.

415236096 is a `hidden beast` number, since 41 + 5 + 2 + 3 + 609 + 6 = 666.

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

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 415236096.

It is not an unprimeable number, because it can be changed into a prime (415236097) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 37748731 + ... + 37748741.

Almost surely, 2^415236096 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 415236096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654311346).

415236096 is an abundant number, since it is smaller than the sum of its proper divisors (893386596).

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

415236096 is an frugal number, since it uses more digits than its factorization.

415236096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 16 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 415236096 is about 20377.3427119436. The cubic root of 415236096 is about 746.0450154562.

The spelling of 415236096 in words is "four hundred fifteen million, two hundred thirty-six thousand, ninety-six".