433490400 has 576 divisors, whose sum is σ = 1859880960. Its totient is φ = 95385600.

The previous prime is 433490383. The next prime is 433490401. The reversal of 433490400 is 4094334.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (433490401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7106370 + ... + 7106430.

It is an arithmetic number, because the mean of its divisors is an integer number (3228960).

Almost surely, 2^433490400 is an apocalyptic number.

433490400 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 433490400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929940480).

433490400 is an abundant number, since it is smaller than the sum of its proper divisors (1426390560).

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

433490400 is a wasteful number, since it uses less digits than its factorization.

433490400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 433490400 is about 20820.4322721696. The cubic root of 433490400 is about 756.8209776258.

The spelling of 433490400 in words is "four hundred thirty-three million, four hundred ninety thousand, four hundred".