453784705920 has 2560 divisors, whose sum is σ = 2149759180800. Its totient is φ = 88624005120.

The previous prime is 453784705903. The next prime is 453784705961. The reversal of 453784705920 is 29507487354.

It is a happy number.

453784705920 is a `hidden beast` number, since 4 + 5 + 3 + 7 + 8 + 47 + 0 + 592 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 4240978507 + ... + 4240978613.

It is an arithmetic number, because the mean of its divisors is an integer number (839749680).

Almost surely, 2^453784705920 is an apocalyptic number.

453784705920 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 453784705920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1074879590400).

453784705920 is an abundant number, since it is smaller than the sum of its proper divisors (1695974474880).

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

453784705920 is a wasteful number, since it uses less digits than its factorization.

453784705920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 453784705920 in words is "four hundred fifty-three billion, seven hundred eighty-four million, seven hundred five thousand, nine hundred twenty".