450854400 has 240 divisors, whose sum is σ = 1522224000. Its totient is φ = 117596160.

The previous prime is 450854377. The next prime is 450854413. The reversal of 450854400 is 4458054.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2265501 + ... + 2265699.

It is an arithmetic number, because the mean of its divisors is an integer number (6342600).

Almost surely, 2^450854400 is an apocalyptic number.

450854400 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 450854400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761112000).

450854400 is an abundant number, since it is smaller than the sum of its proper divisors (1071369600).

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

450854400 is a wasteful number, since it uses less digits than its factorization.

450854400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The square root of 450854400 is about 21233.3322867608. The cubic root of 450854400 is about 766.7941144982.

The spelling of 450854400 in words is "four hundred fifty million, eight hundred fifty-four thousand, four hundred".