413242848 has 72 divisors (see below), whose sum is σ = 1177885800. Its totient is φ = 137428224.

The previous prime is 413242789. The next prime is 413242849. The reversal of 413242848 is 848242314.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×413242848² = 341539302846302208, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413242849) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 145183 + ... + 148001.

It is an arithmetic number, because the mean of its divisors is an integer number (16359525).

Almost surely, 2^413242848 is an apocalyptic number.

413242848 is a gapful number since it is divisible by the number (48) 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 413242848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588942900).

413242848 is an abundant number, since it is smaller than the sum of its proper divisors (764642952).

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

413242848 is a wasteful number, since it uses less digits than its factorization.

413242848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3344 (or 3333 counting only the distinct ones).

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

The square root of 413242848 is about 20328.3754392721. The cubic root of 413242848 is about 744.8493595097.

The spelling of 413242848 in words is "four hundred thirteen million, two hundred forty-two thousand, eight hundred forty-eight".