413041248 has 192 divisors, whose sum is σ = 1299291840. Its totient is φ = 127180800.

The previous prime is 413041219. The next prime is 413041253. The reversal of 413041248 is 842140314.

413041248 is a `hidden beast` number, since 413 + 0 + 4 + 1 + 248 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 895738 + ... + 896198.

It is an arithmetic number, because the mean of its divisors is an integer number (6767145).

Almost surely, 2^413041248 is an apocalyptic number.

413041248 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 413041248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649645920).

413041248 is an abundant number, since it is smaller than the sum of its proper divisors (886250592).

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

413041248 is a wasteful number, since it uses less digits than its factorization.

413041248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 413041248 is about 20323.4162482591. The cubic root of 413041248 is about 744.7282152019.

The spelling of 413041248 in words is "four hundred thirteen million, forty-one thousand, two hundred forty-eight".