454432320 has 168 divisors, whose sum is σ = 1617253560. Its totient is φ = 116981760.

The previous prime is 454432271. The next prime is 454432333. The reversal of 454432320 is 23234454.

It can be written as a sum of positive squares in 4 ways, for example, as 86713344 + 367718976 = 9312^2 + 19176^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80800 + ... + 86240.

Almost surely, 2^454432320 is an apocalyptic number.

454432320 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 454432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808626780).

454432320 is an abundant number, since it is smaller than the sum of its proper divisors (1162821240).

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

454432320 is a wasteful number, since it uses less digits than its factorization.

454432320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5493 (or 5480 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 454432320 is about 21317.4182301704. The cubic root of 454432320 is about 768.8171640704.

Adding to 454432320 its reverse (23234454), we get a palindrome (477666774).

It can be divided in two parts, 4544 and 32320, that added together give a square (36864 = 192²).

The spelling of 454432320 in words is "four hundred fifty-four million, four hundred thirty-two thousand, three hundred twenty".