454892419680 has 48 divisors (see below), whose sum is σ = 1432911123504. Its totient is φ = 121304645120.

The previous prime is 454892419661. The next prime is 454892419711. The reversal of 454892419680 is 86914298454.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×454892419680² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 473845791 + ... + 473846750.

It is an arithmetic number, because the mean of its divisors is an integer number (29852315073).

Almost surely, 2^454892419680 is an apocalyptic number.

454892419680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

454892419680 is an abundant number, since it is smaller than the sum of its proper divisors (978018703824).

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

454892419680 is a wasteful number, since it uses less digits than its factorization.

454892419680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947692559 (or 947692551 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 60.

The spelling of 454892419680 in words is "four hundred fifty-four billion, eight hundred ninety-two million, four hundred nineteen thousand, six hundred eighty".