415411488 has 54 divisors (see below), whose sum is σ = 1182310857. Its totient is φ = 138355200.

The previous prime is 415411483. The next prime is 415411489. The reversal of 415411488 is 884114514.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 224640144 + 190771344 = 14988^2 + 13812^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=14412.

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

It is not an unprimeable number, because it can be changed into a prime (415411483) 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 8 ways as a sum of consecutive naturals, for example, 345288 + ... + 346488.

Almost surely, 2^415411488 is an apocalyptic number.

415411488 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

415411488 is an abundant number, since it is smaller than the sum of its proper divisors (766899369).

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

415411488 is an equidigital number, since it uses as much as digits as its factorization.

415411488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2418 (or 1206 counting only the distinct ones).

The product of its digits is 20480, while the sum is 36.

The square root of 415411488 is about 20381.6458609210. The cubic root of 415411488 is about 746.1500415763.

The spelling of 415411488 in words is "four hundred fifteen million, four hundred eleven thousand, four hundred eighty-eight".