232420164480 has 512 divisors, whose sum is σ = 942205824000. Its totient is φ = 53042356224.

The previous prime is 232420164469. The next prime is 232420164481. The reversal of 232420164480 is 84461024232.

232420164480 is a `hidden beast` number, since 2 + 3 + 2 + 4 + 2 + 0 + 1 + 644 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232420164481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 114548106 + ... + 114550134.

It is an arithmetic number, because the mean of its divisors is an integer number (1840245750).

Almost surely, 2^232420164480 is an apocalyptic number.

232420164480 is a gapful number since it is divisible by the number (20) 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 232420164480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471102912000).

232420164480 is an abundant number, since it is smaller than the sum of its proper divisors (709785659520).

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

232420164480 is a wasteful number, since it uses less digits than its factorization.

232420164480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3011 (or 2993 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

It can be divided in two parts, 232420 and 164480, that added together give a square (396900 = 630²).

The spelling of 232420164480 in words is "two hundred thirty-two billion, four hundred twenty million, one hundred sixty-four thousand, four hundred eighty".