453478145760 has 768 divisors, whose sum is σ = 1722054297600. Its totient is φ = 111111340032.

The previous prime is 453478145759. The next prime is 453478145777. The reversal of 453478145760 is 67541874354.

453478145760 is a `hidden beast` number, since 4 + 53 + 4 + 7 + 8 + 14 + 576 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 453478145697 and 453478145706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 971045047 + ... + 971045513.

It is an arithmetic number, because the mean of its divisors is an integer number (2242258200).

Almost surely, 2^453478145760 is an apocalyptic number.

453478145760 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 453478145760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861027148800).

453478145760 is an abundant number, since it is smaller than the sum of its proper divisors (1268576151840).

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

453478145760 is a wasteful number, since it uses less digits than its factorization.

453478145760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 453478145760 in words is "four hundred fifty-three billion, four hundred seventy-eight million, one hundred forty-five thousand, seven hundred sixty".