455437971840 has 256 divisors, whose sum is σ = 1496947495680. Its totient is φ = 117720784896.

The previous prime is 455437971829. The next prime is 455437971841. The reversal of 455437971840 is 48179734554.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455437971841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8419119 + ... + 8473041.

It is an arithmetic number, because the mean of its divisors is an integer number (5847451155).

Almost surely, 2^455437971840 is an apocalyptic number.

455437971840 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 455437971840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748473747840).

455437971840 is an abundant number, since it is smaller than the sum of its proper divisors (1041509523840).

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

455437971840 is a wasteful number, since it uses less digits than its factorization.

455437971840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54081 (or 54069 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 57.

The spelling of 455437971840 in words is "four hundred fifty-five billion, four hundred thirty-seven million, nine hundred seventy-one thousand, eight hundred forty".