433225440 has 72 divisors (see below), whose sum is σ = 1478386728. Its totient is φ = 115526400.

The previous prime is 433225427. The next prime is 433225453. The reversal of 433225440 is 44522334.

433225440 is a `hidden beast` number, since 433 + 225 + 4 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (433225427) and next prime (433225453).

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 148986 + ... + 151865.

It is an arithmetic number, because the mean of its divisors is an integer number (20533149).

Almost surely, 2^433225440 is an apocalyptic number.

433225440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

433225440 is an abundant number, since it is smaller than the sum of its proper divisors (1045161288).

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

433225440 is a wasteful number, since it uses less digits than its factorization.

433225440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300872 (or 300861 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 433225440 is about 20814.0683192883. The cubic root of 433225440 is about 756.6667503304. Note that the first 3 decimals are identical.

Adding to 433225440 its reverse (44522334), we get a palindrome (477747774).

The spelling of 433225440 in words is "four hundred thirty-three million, two hundred twenty-five thousand, four hundred forty".