450415344000 has 128 divisors (see below), whose sum is σ = 1493127024480. Its totient is φ = 120110745600.

The previous prime is 450415343933. The next prime is 450415344013. The reversal of 450415344000 is 443514054.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×450415344000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4643827 + ... + 4739826.

Almost surely, 2^450415344000 is an apocalyptic number.

450415344000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

450415344000 is an abundant number, since it is smaller than the sum of its proper divisors (1042711680480).

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

450415344000 is an equidigital number, since it uses as much as digits as its factorization.

450415344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9383685 (or 9383663 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 450415344000 its reverse (443514054), we get a palindrome (450858858054).

The spelling of 450415344000 in words is "four hundred fifty billion, four hundred fifteen million, three hundred forty-four thousand".