450012450400 has 36 divisors (see below), whose sum is σ = 1098592896492. Its totient is φ = 180004979840.

The previous prime is 450012450361. The next prime is 450012450413. The reversal of 450012450400 is 4054210054.

It is a happy number.

It is a super-2 number, since 2×450012450400² (a number of 24 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 281256982 + ... + 281258581.

It is an arithmetic number, because the mean of its divisors is an integer number (30516469347).

Almost surely, 2^450012450400 is an apocalyptic number.

450012450400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

450012450400 is an abundant number, since it is smaller than the sum of its proper divisors (648580446092).

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

450012450400 is a wasteful number, since it uses less digits than its factorization.

450012450400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562515583 (or 562515570 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

Adding to 450012450400 its reverse (4054210054), we get a palindrome (454066660454).

The spelling of 450012450400 in words is "four hundred fifty billion, twelve million, four hundred fifty thousand, four hundred".