454832428240 has 80 divisors (see below), whose sum is σ = 1119873872592. Its totient is φ = 171202977792.

The previous prime is 454832428231. The next prime is 454832428249. The reversal of 454832428240 is 42824238454.

It is an interprime number because it is at equal distance from previous prime (454832428231) and next prime (454832428249).

It can be written as a sum of positive squares in 8 ways, for example, as 335329344 + 454497098896 = 18312^2 + 674164^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (454832428249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9492022 + ... + 9539818.

Almost surely, 2^454832428240 is an apocalyptic number.

454832428240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

454832428240 is an abundant number, since it is smaller than the sum of its proper divisors (665041444352).

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

454832428240 is a wasteful number, since it uses less digits than its factorization.

454832428240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54824 (or 54818 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 46.

The spelling of 454832428240 in words is "four hundred fifty-four billion, eight hundred thirty-two million, four hundred twenty-eight thousand, two hundred forty".