453020613120 has 480 divisors, whose sum is σ = 1667017946880. Its totient is φ = 113303224320.

The previous prime is 453020613091. The next prime is 453020613181. The reversal of 453020613120 is 21316020354.

453020613120 is a `hidden beast` number, since 4 + 5 + 3 + 0 + 20 + 613 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×453020613120² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121810621 + ... + 121814339.

It is an arithmetic number, because the mean of its divisors is an integer number (3472954056).

Almost surely, 2^453020613120 is an apocalyptic number.

453020613120 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 453020613120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833508973440).

453020613120 is an abundant number, since it is smaller than the sum of its proper divisors (1213997333760).

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

453020613120 is a wasteful number, since it uses less digits than its factorization.

453020613120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4076 (or 4057 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 453020613120 its reverse (21316020354), we get a palindrome (474336633474).

The spelling of 453020613120 in words is "four hundred fifty-three billion, twenty million, six hundred thirteen thousand, one hundred twenty".