453949816320 has 1920 divisors, whose sum is σ = 2192049699840. Its totient is φ = 87071293440.

The previous prime is 453949816279. The next prime is 453949816361. The reversal of 453949816320 is 23618949354.

453949816320 is a `hidden beast` number, since 4 + 5 + 394 + 98 + 163 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (453949816279) and next prime (453949816361).

It is a tau number, because it is divible by the number of its divisors (1920).

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 34919216634 + ... + 34919216646.

It is an arithmetic number, because the mean of its divisors is an integer number (1141692552).

Almost surely, 2^453949816320 is an apocalyptic number.

453949816320 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 453949816320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1096024849920).

453949816320 is an abundant number, since it is smaller than the sum of its proper divisors (1738099883520).

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

453949816320 is an frugal number, since it uses more digits than its factorization.

453949816320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 453949816320 in words is "four hundred fifty-three billion, nine hundred forty-nine million, eight hundred sixteen thousand, three hundred twenty".