413365932 has 144 divisors (see below), whose sum is σ = 1225224000. Its totient is φ = 115084800.

The previous prime is 413365891. The next prime is 413365933. The reversal of 413365932 is 239563314.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (413365933) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2774194 + ... + 2774342.

It is an arithmetic number, because the mean of its divisors is an integer number (8508500).

Almost surely, 2^413365932 is an apocalyptic number.

413365932 is a gapful number since it is divisible by the number (42) 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 413365932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612612000).

413365932 is an abundant number, since it is smaller than the sum of its proper divisors (811858068).

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

413365932 is a wasteful number, since it uses less digits than its factorization.

413365932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 371 counting only the distinct ones).

The product of its digits is 58320, while the sum is 36.

The square root of 413365932 is about 20331.4026077888. The cubic root of 413365932 is about 744.9233030664.

The spelling of 413365932 in words is "four hundred thirteen million, three hundred sixty-five thousand, nine hundred thirty-two".