450283273440 has 1152 divisors, whose sum is σ = 1962992973312. Its totient is φ = 85274542080.

The previous prime is 450283273439. The next prime is 450283273459. The reversal of 450283273440 is 44372382054.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 450283273392 and 450283273401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 279158074 + ... + 279159686.

It is an arithmetic number, because the mean of its divisors is an integer number (1703986956).

Almost surely, 2^450283273440 is an apocalyptic number.

450283273440 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 450283273440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (981496486656).

450283273440 is an abundant number, since it is smaller than the sum of its proper divisors (1512709699872).

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

450283273440 is a wasteful number, since it uses less digits than its factorization.

450283273440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1752 (or 1737 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 42.

The spelling of 450283273440 in words is "four hundred fifty billion, two hundred eighty-three million, two hundred seventy-three thousand, four hundred forty".