450625443840 has 1152 divisors, whose sum is σ = 1895731568640. Its totient is φ = 97497907200.

The previous prime is 450625443811. The next prime is 450625443881. The reversal of 450625443840 is 48344526054.

450625443840 is a `hidden beast` number, since 4 + 5 + 0 + 62 + 544 + 3 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 408544729 + ... + 408545831.

It is an arithmetic number, because the mean of its divisors is an integer number (1645600320).

Almost surely, 2^450625443840 is an apocalyptic number.

450625443840 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 450625443840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947865784320).

450625443840 is an abundant number, since it is smaller than the sum of its proper divisors (1445106124800).

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

450625443840 is a wasteful number, since it uses less digits than its factorization.

450625443840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 45.

Adding to 450625443840 its reverse (48344526054), we get a palindrome (498969969894).

The spelling of 450625443840 in words is "four hundred fifty billion, six hundred twenty-five million, four hundred forty-three thousand, eight hundred forty".