420446932992 has 312 divisors, whose sum is σ = 1242407013848. Its totient is φ = 136957132800.

The previous prime is 420446932991. The next prime is 420446933033. The reversal of 420446932992 is 299239644024.

420446932992 is a `hidden beast` number, since 4 + 2 + 0 + 446 + 93 + 29 + 92 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1040449536 + 419406483456 = 32256^2 + 647616^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (420446932991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 407014908 + ... + 407015940.

Almost surely, 2^420446932992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420446932992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621203506924).

420446932992 is an abundant number, since it is smaller than the sum of its proper divisors (821960080856).

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

420446932992 is a wasteful number, since it uses less digits than its factorization.

420446932992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1305 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 420446932992 in words is "four hundred twenty billion, four hundred forty-six million, nine hundred thirty-two thousand, nine hundred ninety-two".