462200265072 has 640 divisors, whose sum is σ = 1698111313920. Its totient is φ = 118574171136.

The previous prime is 462200265067. The next prime is 462200265097. The reversal of 462200265072 is 270562002264.

462200265072 is a `hidden beast` number, since 4 + 622 + 0 + 0 + 26 + 5 + 0 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 117816103 + ... + 117820025.

It is an arithmetic number, because the mean of its divisors is an integer number (2653298928).

Almost surely, 2^462200265072 is an apocalyptic number.

462200265072 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 462200265072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849055656960).

462200265072 is an abundant number, since it is smaller than the sum of its proper divisors (1235911048848).

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

462200265072 is a wasteful number, since it uses less digits than its factorization.

462200265072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4009 (or 3985 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 462200265072 in words is "four hundred sixty-two billion, two hundred million, two hundred sixty-five thousand, seventy-two".