454055616 has 168 divisors, whose sum is σ = 1565940480. Its totient is φ = 122881536.

The previous prime is 454055603. The next prime is 454055617. The reversal of 454055616 is 616550454.

454055616 is a `hidden beast` number, since 4 + 540 + 55 + 61 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×454055616² = 412333004842278912, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (454055617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73645 + ... + 79571.

Almost surely, 2^454055616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 454055616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782970240).

454055616 is an abundant number, since it is smaller than the sum of its proper divisors (1111884864).

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

454055616 is a wasteful number, since it uses less digits than its factorization.

454055616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5971 (or 5958 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 454055616 is about 21308.5808068018. The cubic root of 454055616 is about 768.6046670336.

The spelling of 454055616 in words is "four hundred fifty-four million, fifty-five thousand, six hundred sixteen".