454243680 has 384 divisors, whose sum is σ = 1770854400. Its totient is φ = 108725760.

The previous prime is 454243667. The next prime is 454243681. The reversal of 454243680 is 86342454.

454243680 is a `hidden beast` number, since 4 + 542 + 4 + 36 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (454243681) 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 63 ways as a sum of consecutive naturals, for example, 5749881 + ... + 5749959.

It is an arithmetic number, because the mean of its divisors is an integer number (4611600).

Almost surely, 2^454243680 is an apocalyptic number.

454243680 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 454243680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885427200).

454243680 is an abundant number, since it is smaller than the sum of its proper divisors (1316610720).

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

454243680 is a wasteful number, since it uses less digits than its factorization.

454243680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 454243680 is about 21312.9932200993. The cubic root of 454243680 is about 768.7107677778.

The spelling of 454243680 in words is "four hundred fifty-four million, two hundred forty-three thousand, six hundred eighty".