450960744 has 128 divisors (see below), whose sum is σ = 1290240000. Its totient is φ = 130201344.

The previous prime is 450960743. The next prime is 450960749. The reversal of 450960744 is 447069054.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (450960743) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 752557 + ... + 753155.

It is an arithmetic number, because the mean of its divisors is an integer number (10080000).

Almost surely, 2^450960744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450960744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645120000).

450960744 is an abundant number, since it is smaller than the sum of its proper divisors (839279256).

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

450960744 is a wasteful number, since it uses less digits than its factorization.

450960744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 450960744 is about 21235.8363150595. The cubic root of 450960744 is about 766.8543982193.

The spelling of 450960744 in words is "four hundred fifty million, nine hundred sixty thousand, seven hundred forty-four".