450419429376 has 260 divisors, whose sum is σ = 1537760254272. Its totient is φ = 128690601984.

The previous prime is 450419429371. The next prime is 450419429389. The reversal of 450419429376 is 673924914054.

450419429376 is a `hidden beast` number, since 4 + 504 + 1 + 9 + 42 + 93 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (450419429371) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2225461 + ... + 2419403.

Almost surely, 2^450419429376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450419429376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768880127136).

450419429376 is an abundant number, since it is smaller than the sum of its proper divisors (1087340824896).

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

450419429376 is an equidigital number, since it uses as much as digits as its factorization.

450419429376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193986 (or 193955 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 450419429376 in words is "four hundred fifty billion, four hundred nineteen million, four hundred twenty-nine thousand, three hundred seventy-six".