415242984 has 64 divisors (see below), whose sum is σ = 1120775040. Its totient is φ = 127445760.

The previous prime is 415242983. The next prime is 415243007. The reversal of 415242984 is 489242514.

It is a super-2 number, since 2×415242984² = 344853471522448512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (415242983) 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 15 ways as a sum of consecutive naturals, for example, 142389 + ... + 145275.

It is an arithmetic number, because the mean of its divisors is an integer number (17512110).

Almost surely, 2^415242984 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 415242984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560387520).

415242984 is an abundant number, since it is smaller than the sum of its proper divisors (705532056).

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

415242984 is a wasteful number, since it uses less digits than its factorization.

415242984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3370 (or 3366 counting only the distinct ones).

The product of its digits is 92160, while the sum is 39.

The square root of 415242984 is about 20377.5117224847. The cubic root of 415242984 is about 746.0491406031.

The spelling of 415242984 in words is "four hundred fifteen million, two hundred forty-two thousand, nine hundred eighty-four".