433420400 has 120 divisors (see below), whose sum is σ = 1252836480. Its totient is φ = 140762880.

The previous prime is 433420367. The next prime is 433420501. The reversal of 433420400 is 4024334.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49127 + ... + 57273.

It is an arithmetic number, because the mean of its divisors is an integer number (10440304).

Almost surely, 2^433420400 is an apocalyptic number.

433420400 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 433420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626418240).

433420400 is an abundant number, since it is smaller than the sum of its proper divisors (819416080).

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

433420400 is a wasteful number, since it uses less digits than its factorization.

433420400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8191 (or 8180 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 433420400 is about 20818.7511633143. The cubic root of 433420400 is about 756.7802382997.

Adding to 433420400 its reverse (4024334), we get a palindrome (437444734).

The spelling of 433420400 in words is "four hundred thirty-three million, four hundred twenty thousand, four hundred".