422480362752 has 864 divisors, whose sum is σ = 1498711818240. Its totient is φ = 111870443520.

The previous prime is 422480362751. The next prime is 422480362823. The reversal of 422480362752 is 257263084224.

422480362752 is a `hidden beast` number, since 42 + 2 + 480 + 3 + 62 + 75 + 2 = 666.

It is a super-2 number, since 2×422480362752² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 422480362698 and 422480362707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422480362751) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2211938977 + ... + 2211939167.

It is an arithmetic number, because the mean of its divisors is an integer number (1734620160).

Almost surely, 2^422480362752 is an apocalyptic number.

422480362752 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 422480362752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749355909120).

422480362752 is an abundant number, since it is smaller than the sum of its proper divisors (1076231455488).

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

422480362752 is a wasteful number, since it uses less digits than its factorization.

422480362752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 422480362752 in words is "four hundred twenty-two billion, four hundred eighty million, three hundred sixty-two thousand, seven hundred fifty-two".