454189680 has 800 divisors, whose sum is σ = 2074152960. Its totient is φ = 89579520.

The previous prime is 454189657. The next prime is 454189709. The reversal of 454189680 is 86981454.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 14651265 + ... + 14651295.

Almost surely, 2^454189680 is an apocalyptic number.

454189680 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 454189680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037076480).

454189680 is an abundant number, since it is smaller than the sum of its proper divisors (1619963280).

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

454189680 is a wasteful number, since it uses less digits than its factorization.

454189680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 454189680 is about 21311.7263495945. The cubic root of 454189680 is about 768.6803054009.

The spelling of 454189680 in words is "four hundred fifty-four million, one hundred eighty-nine thousand, six hundred eighty".