403200 has 162 divisors, whose sum is σ = 1647464. Its totient is φ = 92160.

The previous prime is 403181. The next prime is 403219. The reversal of 403200 is 2304.

It is an interprime number because it is at equal distance from previous prime (403181) and next prime (403219).

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 an unprimeable number.

403200 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 57597 + ... + 57603.

2⁴⁰³²⁰⁰ is an apocalyptic number.

403200 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 403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823732).

403200 is an abundant number, since it is smaller than the sum of its proper divisors (1244264).

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

403200 is a wasteful number, since it uses less digits than its factorization.

403200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39 (or 17 counting only the distinct ones).

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

The square root of 403200 is about 634.9803146555. The cubic root of 403200 is about 73.8765900179.

Adding to 403200 its reverse (2304), we get a palindrome (405504).

It can be divided in two parts, 40 and 3200, that added together give a triangular number (3240 = T₈₀).

The spelling of 403200 in words is "four hundred three thousand, two hundred", and thus it is an iban number.