453576049920 has 2160 divisors, whose sum is σ = 2057102530560. Its totient is φ = 94810963968.

The previous prime is 453576049907. The next prime is 453576049951. The reversal of 453576049920 is 29940675354.

453576049920 is a `hidden beast` number, since 4 + 5 + 3 + 5 + 7 + 604 + 9 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×453576049920² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 239 ways as a sum of consecutive naturals, for example, 3571464897 + ... + 3571465023.

Almost surely, 2^453576049920 is an apocalyptic number.

453576049920 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 453576049920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028551265280).

453576049920 is an abundant number, since it is smaller than the sum of its proper divisors (1603526480640).

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

453576049920 is a wasteful number, since it uses less digits than its factorization.

453576049920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 453576049920 in words is "four hundred fifty-three billion, five hundred seventy-six million, forty-nine thousand, nine hundred twenty".