452420779680 has 288 divisors, whose sum is σ = 1678887244944. Its totient is φ = 110479638528.

The previous prime is 452420779637. The next prime is 452420779711. The reversal of 452420779680 is 86977024254.

452420779680 is a `hidden beast` number, since 4 + 52 + 420 + 7 + 7 + 96 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 297055520784 + 155365258896 = 545028^2 + 394164^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 656014 + ... + 1155506.

Almost surely, 2^452420779680 is an apocalyptic number.

452420779680 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 452420779680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839443622472).

452420779680 is an abundant number, since it is smaller than the sum of its proper divisors (1226466465264).

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

452420779680 is a wasteful number, since it uses less digits than its factorization.

452420779680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499568 (or 499557 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

It can be divided in two parts, 452420 and 779680, that added together give a square (1232100 = 1110²).

The spelling of 452420779680 in words is "four hundred fifty-two billion, four hundred twenty million, seven hundred seventy-nine thousand, six hundred eighty".