413341488 has 160 divisors (see below), whose sum is σ = 1382054400. Its totient is φ = 115824384.

The previous prime is 413341483. The next prime is 413341493. The reversal of 413341488 is 884143314.

413341488 is a `hidden beast` number, since 4 + 133 + 41 + 488 = 666.

It is an interprime number because it is at equal distance from previous prime (413341483) and next prime (413341493).

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 not an unprimeable number, because it can be changed into a prime (413341483) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 158983 + ... + 161561.

It is an arithmetic number, because the mean of its divisors is an integer number (8637840).

Almost surely, 2^413341488 is an apocalyptic number.

413341488 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 413341488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691027200).

413341488 is an abundant number, since it is smaller than the sum of its proper divisors (968712912).

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

413341488 is a wasteful number, since it uses less digits than its factorization.

413341488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2656 (or 2644 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 413341488 is about 20330.8014598540. The cubic root of 413341488 is about 744.9086193340.

The spelling of 413341488 in words is "four hundred thirteen million, three hundred forty-one thousand, four hundred eighty-eight".