454679680 has 256 divisors, whose sum is σ = 1380476160. Its totient is φ = 139345920.

The previous prime is 454679677. The next prime is 454679689. The reversal of 454679680 is 86976454.

It is a super-2 number, since 2×454679680² = 413467222809804800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (454679689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2154775 + ... + 2154985.

It is an arithmetic number, because the mean of its divisors is an integer number (5392485).

Almost surely, 2^454679680 is an apocalyptic number.

454679680 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 454679680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690238080).

454679680 is an abundant number, since it is smaller than the sum of its proper divisors (925796480).

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

454679680 is a wasteful number, since it uses less digits than its factorization.

454679680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 49.

The square root of 454679680 is about 21323.2192691441. The cubic root of 454679680 is about 768.9566348709.

The spelling of 454679680 in words is "four hundred fifty-four million, six hundred seventy-nine thousand, six hundred eighty".