450413440 has 64 divisors (see below), whose sum is σ = 1079482320. Its totient is φ = 179712000.

The previous prime is 450413437. The next prime is 450413443. The reversal of 450413440 is 44314054.

It is an interprime number because it is at equal distance from previous prime (450413437) and next prime (450413443).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450413443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 384055 + ... + 385225.

Almost surely, 2^450413440 is an apocalyptic number.

450413440 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 450413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539741160).

450413440 is an abundant number, since it is smaller than the sum of its proper divisors (629068880).

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

450413440 is a wasteful number, since it uses less digits than its factorization.

450413440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1791 (or 1779 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 450413440 is about 21222.9460725885. The cubic root of 450413440 is about 766.5440442407.

Adding to 450413440 its reverse (44314054), we get a palindrome (494727494).

The spelling of 450413440 in words is "four hundred fifty million, four hundred thirteen thousand, four hundred forty".