453939761233920 has 480 divisors, whose sum is σ = 1614760108738560. Its totient is φ = 108134510100480.

The previous prime is 453939761233909. The next prime is 453939761233963. The reversal of 453939761233920 is 29332167939354.

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

It is a super-2 number, since 2×453939761233920² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96749611 + ... + 101332949.

It is an arithmetic number, because the mean of its divisors is an integer number (3364083559872).

Almost surely, 2^{453939761233920} is an apocalyptic number.

453939761233920 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 453939761233920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807380054369280).

453939761233920 is an abundant number, since it is smaller than the sum of its proper divisors (1160820347504640).

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

453939761233920 is a wasteful number, since it uses less digits than its factorization.

453939761233920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4583419 (or 4583393 counting only the distinct ones).

The product of its (nonzero) digits is 198404640, while the sum is 66.

The spelling of 453939761233920 in words is "four hundred fifty-three trillion, nine hundred thirty-nine billion, seven hundred sixty-one million, two hundred thirty-three thousand, nine hundred twenty".