403161300 has 216 divisors, whose sum is σ = 1342164096. Its totient is φ = 104924160.

The previous prime is 403161289. The next prime is 403161331. The reversal of 403161300 is 3161304.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 71 ways as a sum of consecutive naturals, for example, 1141924 + ... + 1142276.

Almost surely, 2^403161300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 403161300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671082048).

403161300 is an abundant number, since it is smaller than the sum of its proper divisors (939002796).

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

403161300 is a wasteful number, since it uses less digits than its factorization.

403161300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 403161300 is about 20078.8769606271. The cubic root of 403161300 is about 738.7422633115.

It can be divided in two parts, 40316 and 1300, that added together give a triangular number (41616 = T₂₈₈).

The spelling of 403161300 in words is "four hundred three million, one hundred sixty-one thousand, three hundred".