453328705440 has 288 divisors, whose sum is σ = 1684708094160. Its totient is φ = 110334394368.

The previous prime is 453328705337. The next prime is 453328705451. The reversal of 453328705440 is 44507823354.

453328705440 is a `hidden beast` number, since 4 + 5 + 3 + 32 + 8 + 70 + 544 + 0 = 666.

453328705440 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 15524163216 + 437804542224 = 124596^2 + 661668^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

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, 1530034 + ... + 1802126.

Almost surely, 2^453328705440 is an apocalyptic number.

453328705440 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 453328705440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842354047080).

453328705440 is an abundant number, since it is smaller than the sum of its proper divisors (1231379388720).

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

453328705440 is a wasteful number, since it uses less digits than its factorization.

453328705440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272216 (or 272205 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The spelling of 453328705440 in words is "four hundred fifty-three billion, three hundred twenty-eight million, seven hundred five thousand, four hundred forty".