234654900480 has 4320 divisors, whose sum is σ = 1278922296960. Its totient is φ = 40131624960.

The previous prime is 234654900457. The next prime is 234654900481. The reversal of 234654900480 is 84009456432.

234654900480 is a `hidden beast` number, since 2 + 34 + 6 + 54 + 90 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234654900481) 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 479 ways as a sum of consecutive naturals, for example, 12350257911 + ... + 12350257929.

It is an arithmetic number, because the mean of its divisors is an integer number (296046828).

Almost surely, 2^234654900480 is an apocalyptic number.

234654900480 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 234654900480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639461148480).

234654900480 is an abundant number, since it is smaller than the sum of its proper divisors (1044267396480).

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

234654900480 is a wasteful number, since it uses less digits than its factorization.

234654900480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 234654900480 in words is "two hundred thirty-four billion, six hundred fifty-four million, nine hundred thousand, four hundred eighty".