403200000 has 432 divisors, whose sum is σ = 1663487280. Its totient is φ = 92160000.

The previous prime is 403199947. The next prime is 403200001. The reversal of 403200000 is 2304.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (403200001) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 57599997 + ... + 57600003.

It is an arithmetic number, because the mean of its divisors is an integer number (3850665).

Almost surely, 2^403200000 is an apocalyptic number.

403200000 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 403200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831743640).

403200000 is an abundant number, since it is smaller than the sum of its proper divisors (1260287280).

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

403200000 is an frugal number, since it uses more digits than its factorization.

403200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 403200000 is about 20079.8406368178. The cubic root of 403200000 is about 738.7659001791.

Adding to 403200000 its reverse (2304), we get a palindrome (403202304).

The spelling of 403200000 in words is "four hundred three million, two hundred thousand".