454640662440 has 192 divisors, whose sum is σ = 1498546380240. Its totient is φ = 119518986240.

The previous prime is 454640662391. The next prime is 454640662447. The reversal of 454640662440 is 44266046454.

454640662440 is a `hidden beast` number, since 4 + 546 + 4 + 0 + 6 + 62 + 4 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 101227058244 + 353413604196 = 318162^2 + 594486^2 .

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

It is not an unprimeable number, because it can be changed into a prime (454640662447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99677760 + ... + 99682320.

Almost surely, 2^454640662440 is an apocalyptic number.

454640662440 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 454640662440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749273190120).

454640662440 is an abundant number, since it is smaller than the sum of its proper divisors (1043905717800).

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

454640662440 is a wasteful number, since it uses less digits than its factorization.

454640662440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8444 (or 8437 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 45.

The spelling of 454640662440 in words is "four hundred fifty-four billion, six hundred forty million, six hundred sixty-two thousand, four hundred forty".