454072320 has 288 divisors, whose sum is σ = 1699261200. Its totient is φ = 111476736.

The previous prime is 454072259. The next prime is 454072321. The reversal of 454072320 is 23270454.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (454072321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1197891 + ... + 1198269.

Almost surely, 2^454072320 is an apocalyptic number.

454072320 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 454072320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849630600).

454072320 is an abundant number, since it is smaller than the sum of its proper divisors (1245188880).

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

454072320 is a wasteful number, since it uses less digits than its factorization.

454072320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 454072320 is about 21308.9727579722. The cubic root of 454072320 is about 768.6140921749.

The spelling of 454072320 in words is "four hundred fifty-four million, seventy-two thousand, three hundred twenty".