454947840 has 220 divisors, whose sum is σ = 1631761956. Its totient is φ = 121208832.

The previous prime is 454947811. The next prime is 454947841. The reversal of 454947840 is 48749454.

454947840 is a `hidden beast` number, since 454 + 94 + 78 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 146313216 + 308634624 = 12096^2 + 17568^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (454947841) 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 19 ways as a sum of consecutive naturals, for example, 414172 + ... + 415268.

Almost surely, 2^454947840 is an apocalyptic number.

454947840 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 454947840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815880978).

454947840 is an abundant number, since it is smaller than the sum of its proper divisors (1176814116).

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

454947840 is a wasteful number, since it uses less digits than its factorization.

454947840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 454947840 is about 21329.5063234009. The cubic root of 454947840 is about 769.1077763561.

The spelling of 454947840 in words is "four hundred fifty-four million, nine hundred forty-seven thousand, eight hundred forty".