454411440 has 240 divisors, whose sum is σ = 1804795200. Its totient is φ = 100251648.

The previous prime is 454411381. The next prime is 454411457. The reversal of 454411440 is 44114454.

454411440 is a `hidden beast` number, since 4 + 544 + 114 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 144606 + ... + 147714.

It is an arithmetic number, because the mean of its divisors is an integer number (7519980).

Almost surely, 2^454411440 is an apocalyptic number.

454411440 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 454411440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902397600).

454411440 is an abundant number, since it is smaller than the sum of its proper divisors (1350383760).

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

454411440 is a wasteful number, since it uses less digits than its factorization.

454411440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3164 (or 3155 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 454411440 is about 21316.9284841883. The cubic root of 454411440 is about 768.8053888308.

Adding to 454411440 its reverse (44114454), we get a palindrome (498525894).

The spelling of 454411440 in words is "four hundred fifty-four million, four hundred eleven thousand, four hundred forty".