413196672 has 64 divisors (see below), whose sum is σ = 1254355200. Its totient is φ = 118055424.

The previous prime is 413196653. The next prime is 413196677. The reversal of 413196672 is 276691314.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 413196672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413196677) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74172 + ... + 79547.

It is an arithmetic number, because the mean of its divisors is an integer number (19599300).

Almost surely, 2^413196672 is an apocalyptic number.

413196672 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

413196672 is an abundant number, since it is smaller than the sum of its proper divisors (841158528).

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

413196672 is a wasteful number, since it uses less digits than its factorization.

413196672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153743 (or 153731 counting only the distinct ones).

The product of its digits is 54432, while the sum is 39.

The square root of 413196672 is about 20327.2396552016. The cubic root of 413196672 is about 744.8216151737.

The spelling of 413196672 in words is "four hundred thirteen million, one hundred ninety-six thousand, six hundred seventy-two".