454431120 has 160 divisors (see below), whose sum is σ = 1655144064. Its totient is φ = 101683200.

The previous prime is 454431101. The next prime is 454431121. The reversal of 454431120 is 21134454.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (454431121) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 27700 + ... + 40940.

Almost surely, 2^454431120 is an apocalyptic number.

454431120 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 454431120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827572032).

454431120 is an abundant number, since it is smaller than the sum of its proper divisors (1200712944).

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

454431120 is a wasteful number, since it uses less digits than its factorization.

454431120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13281 (or 13275 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 454431120 is about 21317.3900841543. The cubic root of 454431120 is about 768.8164873422.

Adding to 454431120 its reverse (21134454), we get a palindrome (475565574).

The spelling of 454431120 in words is "four hundred fifty-four million, four hundred thirty-one thousand, one hundred twenty".