403545168 has 120 divisors (see below), whose sum is σ = 1233318632. Its totient is φ = 122425344.

The previous prime is 403545157. The next prime is 403545209. The reversal of 403545168 is 861545304.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 61591104 + 341954064 = 7848^2 + 18492^2 .

It is a super-2 number, since 2×403545168² = 325697405232296448, which contains 22 as substring.

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

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 23 ways as a sum of consecutive naturals, for example, 135180 + ... + 138132.

Almost surely, 2^403545168 is an apocalyptic number.

403545168 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 403545168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616659316).

403545168 is an abundant number, since it is smaller than the sum of its proper divisors (829773464).

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

403545168 is a wasteful number, since it uses less digits than its factorization.

403545168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3053 (or 3044 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 403545168 is about 20088.4336870748. The cubic root of 403545168 is about 738.9766521775.

The spelling of 403545168 in words is "four hundred three million, five hundred forty-five thousand, one hundred sixty-eight".