407768382252 has 192 divisors, whose sum is σ = 1324667904000. Its totient is φ = 105381207360.

The previous prime is 407768382223. The next prime is 407768382253. The reversal of 407768382252 is 252283867704.

407768382252 is a `hidden beast` number, since 4 + 0 + 7 + 7 + 6 + 8 + 382 + 252 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (407768382253) 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 63 ways as a sum of consecutive naturals, for example, 1531683 + ... + 1778085.

It is an arithmetic number, because the mean of its divisors is an integer number (6899312000).

Almost surely, 2^407768382252 is an apocalyptic number.

407768382252 is a gapful number since it is divisible by the number (42) 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 407768382252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662333952000).

407768382252 is an abundant number, since it is smaller than the sum of its proper divisors (916899521748).

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

407768382252 is a wasteful number, since it uses less digits than its factorization.

407768382252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246633 (or 246625 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 407768382252 in words is "four hundred seven billion, seven hundred sixty-eight million, three hundred eighty-two thousand, two hundred fifty-two".