450250043522400 has 1728 divisors, whose sum is σ = 1857631089000960. Its totient is φ = 101504788070400.

The previous prime is 450250043522393. The next prime is 450250043522407. The reversal of 450250043522400 is 4225340052054.

450250043522400 is a `hidden beast` number, since 4 + 5 + 0 + 2 + 50 + 0 + 43 + 522 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (450250043522393) and next prime (450250043522407).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450250043522407) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 153198380131 + ... + 153198383069.

It is an arithmetic number, because the mean of its divisors is an integer number (1075017991320).

Almost surely, 2^{450250043522400} is an apocalyptic number.

450250043522400 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 450250043522400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928815544500480).

450250043522400 is an abundant number, since it is smaller than the sum of its proper divisors (1407381045478560).

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

450250043522400 is a wasteful number, since it uses less digits than its factorization.

450250043522400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5309 (or 5293 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 36.

Adding to 450250043522400 its reverse (4225340052054), we get a palindrome (454475383574454).

It can be divided in two parts, 4502500 and 43522400, that added together give a triangular number (48024900 = T₉₈₀₀).

The spelling of 450250043522400 in words is "four hundred fifty trillion, two hundred fifty billion, forty-three million, five hundred twenty-two thousand, four hundred".