454561680 has 160 divisors (see below), whose sum is σ = 1470763008. Its totient is φ = 116006400.

The previous prime is 454561661. The next prime is 454561703. The reversal of 454561680 is 86165454.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 795795 + ... + 796365.

Almost surely, 2^454561680 is an apocalyptic number.

454561680 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 454561680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735381504).

454561680 is an abundant number, since it is smaller than the sum of its proper divisors (1016201328).

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

454561680 is a wasteful number, since it uses less digits than its factorization.

454561680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 454561680 is about 21320.4521528039. The cubic root of 454561680 is about 768.8901083780.

The spelling of 454561680 in words is "four hundred fifty-four million, five hundred sixty-one thousand, six hundred eighty".