413675640 has 192 divisors, whose sum is σ = 1604253600. Its totient is φ = 94542336.

The previous prime is 413675629. The next prime is 413675641. The reversal of 413675640 is 46576314.

It is a happy number.

413675640 is a `hidden beast` number, since 4 + 1 + 3 + 6 + 7 + 5 + 640 = 666.

It is a super-2 number, since 2×413675640² = 342255070258819200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 413675595 and 413675604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413675641) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 49012 + ... + 56828.

Almost surely, 2^413675640 is an apocalyptic number.

413675640 is a gapful number since it is divisible by the number (40) 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 413675640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802126800).

413675640 is an abundant number, since it is smaller than the sum of its proper divisors (1190577960).

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

413675640 is a wasteful number, since it uses less digits than its factorization.

413675640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7851 (or 7834 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 413675640 is about 20339.0176753943. The cubic root of 413675640 is about 745.1092973587.

The spelling of 413675640 in words is "four hundred thirteen million, six hundred seventy-five thousand, six hundred forty".