450499540320 has 480 divisors, whose sum is σ = 1686829880736. Its totient is φ = 112837017600.

The previous prime is 450499540301. The next prime is 450499540327. The reversal of 450499540320 is 23045994054.

450499540320 is a `hidden beast` number, since 4 + 504 + 99 + 54 + 0 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450499540327) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 125800930 + ... + 125804510.

Almost surely, 2^450499540320 is an apocalyptic number.

450499540320 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 450499540320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843414940368).

450499540320 is an abundant number, since it is smaller than the sum of its proper divisors (1236330340416).

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

450499540320 is a wasteful number, since it uses less digits than its factorization.

450499540320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4196 (or 4179 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 450499540320 in words is "four hundred fifty billion, four hundred ninety-nine million, five hundred forty thousand, three hundred twenty".