454537923840 has 1728 divisors, whose sum is σ = 2205524401920. Its totient is φ = 87137648640.

The previous prime is 454537923817. The next prime is 454537923859. The reversal of 454537923840 is 48329735454.

454537923840 is a `hidden beast` number, since 4 + 5 + 4 + 537 + 9 + 23 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 242160982 + ... + 242162858.

It is an arithmetic number, because the mean of its divisors is an integer number (1276345140).

Almost surely, 2^454537923840 is an apocalyptic number.

454537923840 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 454537923840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1102762200960).

454537923840 is an abundant number, since it is smaller than the sum of its proper divisors (1750986478080).

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

454537923840 is a wasteful number, since it uses less digits than its factorization.

454537923840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1945 (or 1918 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 454537923840 in words is "four hundred fifty-four billion, five hundred thirty-seven million, nine hundred twenty-three thousand, eight hundred forty".