454445040 has 320 divisors, whose sum is σ = 1771315200. Its totient is φ = 93975552.

The previous prime is 454445009. The next prime is 454445053. The reversal of 454445040 is 40544454.

454445040 = 259² + 260² + ... + 1113².

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 454444989 and 454445007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 733851 + ... + 734469.

It is an arithmetic number, because the mean of its divisors is an integer number (5535360).

Almost surely, 2^454445040 is an apocalyptic number.

454445040 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 454445040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885657600).

454445040 is an abundant number, since it is smaller than the sum of its proper divisors (1316870160).

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

454445040 is a wasteful number, since it uses less digits than its factorization.

454445040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 30.

The square root of 454445040 is about 21317.7165756560. The cubic root of 454445040 is about 768.8243373154.

Adding to 454445040 its reverse (40544454), we get a palindrome (494989494).

The spelling of 454445040 in words is "four hundred fifty-four million, four hundred forty-five thousand, forty".