450275454720 has 432 divisors, whose sum is σ = 1917427442112. Its totient is φ = 95002951680.

The previous prime is 450275454613. The next prime is 450275454787. The reversal of 450275454720 is 27454572054.

450275454720 is a `hidden beast` number, since 4 + 50 + 2 + 7 + 54 + 547 + 2 + 0 = 666.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 833560 + ... + 1263080.

Almost surely, 2^450275454720 is an apocalyptic number.

450275454720 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 450275454720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958713721056).

450275454720 is an abundant number, since it is smaller than the sum of its proper divisors (1467151987392).

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

450275454720 is a wasteful number, since it uses less digits than its factorization.

450275454720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429568 (or 429551 counting only the distinct ones).

The product of its (nonzero) digits is 1568000, while the sum is 45.

The spelling of 450275454720 in words is "four hundred fifty billion, two hundred seventy-five million, four hundred fifty-four thousand, seven hundred twenty".