403161408 has 224 divisors, whose sum is σ = 1295521920. Its totient is φ = 122204160.

The previous prime is 403161403. The next prime is 403161413. The reversal of 403161408 is 804161304.

403161408 is a `hidden beast` number, since 40 + 3 + 1 + 614 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (403161403) and next prime (403161413).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (403161401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2942716 + ... + 2942852.

It is an arithmetic number, because the mean of its divisors is an integer number (5783580).

Almost surely, 2^403161408 is an apocalyptic number.

403161408 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 403161408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647760960).

403161408 is an abundant number, since it is smaller than the sum of its proper divisors (892360512).

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

403161408 is a wasteful number, since it uses less digits than its factorization.

403161408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 403161408 is about 20078.8796500203. The cubic root of 403161408 is about 738.7423292769.

The spelling of 403161408 in words is "four hundred three million, one hundred sixty-one thousand, four hundred eight".