413748320 has 48 divisors (see below), whose sum is σ = 1009024128. Its totient is φ = 160158720.

The previous prime is 413748271. The next prime is 413748331. The reversal of 413748320 is 23847314.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 7 ways as a sum of consecutive naturals, for example, 36749 + ... + 46668.

It is an arithmetic number, because the mean of its divisors is an integer number (21021336).

Almost surely, 2^413748320 is an apocalyptic number.

413748320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413748320 is an abundant number, since it is smaller than the sum of its proper divisors (595275808).

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

413748320 is a wasteful number, since it uses less digits than its factorization.

413748320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83463 (or 83455 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 413748320 is about 20340.8043105478. The cubic root of 413748320 is about 745.1529316842.

It can be divided in two parts, 41374 and 8320, that added together give a palindrome (49694).

The spelling of 413748320 in words is "four hundred thirteen million, seven hundred forty-eight thousand, three hundred twenty".