403200160 has 96 divisors (see below), whose sum is σ = 1045420992. Its totient is φ = 145735680.

The previous prime is 403200157. The next prime is 403200173. The reversal of 403200160 is 61002304.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 339087 + ... + 340273.

It is an arithmetic number, because the mean of its divisors is an integer number (10889802).

Almost surely, 2^403200160 is an apocalyptic number.

403200160 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 403200160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522710496).

403200160 is an abundant number, since it is smaller than the sum of its proper divisors (642220832).

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

403200160 is a wasteful number, since it uses less digits than its factorization.

403200160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1406 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 403200160 is about 20079.8446209128. The cubic root of 403200160 is about 738.7659978995.

Adding to 403200160 its reverse (61002304), we get a palindrome (464202464).

The spelling of 403200160 in words is "four hundred three million, two hundred thousand, one hundred sixty".