453144090240 has 768 divisors, whose sum is σ = 1756646611200. Its totient is φ = 106964582400.

The previous prime is 453144090239. The next prime is 453144090253. The reversal of 453144090240 is 42090441354.

453144090240 is a `hidden beast` number, since 4 + 5 + 3 + 1 + 4 + 409 + 0 + 240 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 453144090195 and 453144090204.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 280931674 + ... + 280933286.

It is an arithmetic number, because the mean of its divisors is an integer number (2287300275).

Almost surely, 2^453144090240 is an apocalyptic number.

453144090240 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 453144090240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878323305600).

453144090240 is an abundant number, since it is smaller than the sum of its proper divisors (1303502520960).

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

453144090240 is a wasteful number, since it uses less digits than its factorization.

453144090240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1825 (or 1810 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 453144090240 in words is "four hundred fifty-three billion, one hundred forty-four million, ninety thousand, two hundred forty".