235206456420 has 288 divisors, whose sum is σ = 756154828800. Its totient is φ = 54448962048.

The previous prime is 235206456347. The next prime is 235206456437. The reversal of 235206456420 is 24654602532.

235206456420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 95 ways as a sum of consecutive naturals, for example, 26775349 + ... + 26784131.

It is an arithmetic number, because the mean of its divisors is an integer number (2625537600).

Almost surely, 2^235206456420 is an apocalyptic number.

235206456420 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 235206456420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378077414400).

235206456420 is an abundant number, since it is smaller than the sum of its proper divisors (520948372380).

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

235206456420 is a wasteful number, since it uses less digits than its factorization.

235206456420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8979 (or 8964 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 39.

The spelling of 235206456420 in words is "two hundred thirty-five billion, two hundred six million, four hundred fifty-six thousand, four hundred twenty".