450473512778496 has 864 divisors, whose sum is σ = 1389983428753920. Its totient is φ = 140065741209600.

The previous prime is 450473512778489. The next prime is 450473512778507. The reversal of 450473512778496 is 694877215374054.

It is a happy number.

450473512778496 is a `hidden beast` number, since 4 + 5 + 0 + 4 + 7 + 3 + 5 + 127 + 7 + 8 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 235480141636 + ... + 235480143548.

It is a 1-persistent number, because it is pandigital, but 2⋅450473512778496 = 900947025556992 is not.

Almost surely, 2^{450473512778496} 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 450473512778496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694991714376960).

450473512778496 is an abundant number, since it is smaller than the sum of its proper divisors (939509915975424).

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

450473512778496 is a wasteful number, since it uses less digits than its factorization.

450473512778496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2933 (or 2916 counting only the distinct ones).

The product of its (nonzero) digits is 1422489600, while the sum is 72.

The spelling of 450473512778496 in words is "four hundred fifty trillion, four hundred seventy-three billion, five hundred twelve million, seven hundred seventy-eight thousand, four hundred ninety-six".