454027192320 has 768 divisors, whose sum is σ = 1634592960000. Its totient is φ = 106819485696.

The previous prime is 454027192301. The next prime is 454027192327. The reversal of 454027192320 is 23291720454.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×454027192320² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (454027192327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2281543581 + ... + 2281543779.

It is an arithmetic number, because the mean of its divisors is an integer number (2128376250).

Almost surely, 2^454027192320 is an apocalyptic number.

454027192320 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 454027192320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817296480000).

454027192320 is an abundant number, since it is smaller than the sum of its proper divisors (1180565767680).

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

454027192320 is a wasteful number, since it uses less digits than its factorization.

454027192320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 454027192320 in words is "four hundred fifty-four billion, twenty-seven million, one hundred ninety-two thousand, three hundred twenty".