450973440 has 144 divisors (see below), whose sum is σ = 1600452000. Its totient is φ = 120250368.

The previous prime is 450973421. The next prime is 450973441. The reversal of 450973440 is 44379054.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 450973395 and 450973404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450973441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28036 + ... + 41084.

It is an arithmetic number, because the mean of its divisors is an integer number (11114250).

Almost surely, 2^450973440 is an apocalyptic number.

450973440 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 450973440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800226000).

450973440 is an abundant number, since it is smaller than the sum of its proper divisors (1149478560).

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

450973440 is a wasteful number, since it uses less digits than its factorization.

450973440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13079 (or 13059 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 450973440 is about 21236.1352416112. The cubic root of 450973440 is about 766.8615946270.

The spelling of 450973440 in words is "four hundred fifty million, nine hundred seventy-three thousand, four hundred forty".