450642400 has 72 divisors (see below), whose sum is σ = 1184783544. Its totient is φ = 166387200.

The previous prime is 450642389. The next prime is 450642419. The reversal of 450642400 is 4246054.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11266 + ... + 32065.

It is an arithmetic number, because the mean of its divisors is an integer number (16455327).

Almost surely, 2^450642400 is an apocalyptic number.

450642400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

450642400 is an abundant number, since it is smaller than the sum of its proper divisors (734141144).

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

450642400 is a wasteful number, since it uses less digits than its factorization.

450642400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43364 (or 43351 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 450642400 is about 21228.3395488201. The cubic root of 450642400 is about 766.6739087743.

Adding to 450642400 its reverse (4246054), we get a palindrome (454888454).

The spelling of 450642400 in words is "four hundred fifty million, six hundred forty-two thousand, four hundred".