450781909369920 has 448 divisors, whose sum is σ = 1627176336192000. Its totient is φ = 117444314603520.

The previous prime is 450781909369873. The next prime is 450781909369943. The reversal of 450781909369920 is 29963909187054.

450781909369920 is a `hidden beast` number, since 4 + 5 + 0 + 78 + 190 + 9 + 369 + 9 + 2 + 0 = 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 63 ways as a sum of consecutive naturals, for example, 75658797 + ... + 81399123.

It is a 1-persistent number, because it is pandigital, but 2⋅450781909369920 = 901563818739840 is not.

Almost surely, 2^{450781909369920} is an apocalyptic number.

450781909369920 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 450781909369920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813588168096000).

450781909369920 is an abundant number, since it is smaller than the sum of its proper divisors (1176394426822080).

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

450781909369920 is a wasteful number, since it uses less digits than its factorization.

450781909369920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5740563 (or 5740547 counting only the distinct ones).

The product of its (nonzero) digits is 264539520, while the sum is 72.

The spelling of 450781909369920 in words is "four hundred fifty trillion, seven hundred eighty-one billion, nine hundred nine million, three hundred sixty-nine thousand, nine hundred twenty".