450905495040 has 3200 divisors, whose sum is σ = 2310677107200. Its totient is φ = 81935400960.

The previous prime is 450905495023. The next prime is 450905495099. The reversal of 450905495040 is 40594509054.

450905495040 is a `hidden beast` number, since 4 + 5 + 0 + 90 + 54 + 9 + 504 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 23731868151 + ... + 23731868169.

It is an arithmetic number, because the mean of its divisors is an integer number (722086596).

Almost surely, 2^450905495040 is an apocalyptic number.

450905495040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450905495040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1155338553600).

450905495040 is an abundant number, since it is smaller than the sum of its proper divisors (1859771612160).

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

450905495040 is a wasteful number, since it uses less digits than its factorization.

450905495040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 450905495040 in words is "four hundred fifty billion, nine hundred five million, four hundred ninety-five thousand, forty".