454364640 has 120 divisors (see below), whose sum is σ = 1603574280. Its totient is φ = 121160448.

The previous prime is 454364639. The next prime is 454364711. The reversal of 454364640 is 46463454.

454364640 is a `hidden beast` number, since 4 + 5 + 4 + 3 + 6 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 454364595 and 454364604.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 4570 + ... + 30489.

It is an arithmetic number, because the mean of its divisors is an integer number (13363119).

Almost surely, 2^454364640 is an apocalyptic number.

454364640 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 454364640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801787140).

454364640 is an abundant number, since it is smaller than the sum of its proper divisors (1149209640).

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

454364640 is a wasteful number, since it uses less digits than its factorization.

454364640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35086 (or 35069 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 454364640 is about 21315.8307368022. The cubic root of 454364640 is about 768.7789947422.

The spelling of 454364640 in words is "four hundred fifty-four million, three hundred sixty-four thousand, six hundred forty".