234672480 has 288 divisors, whose sum is σ = 946003968. Its totient is φ = 51840000.

The previous prime is 234672433. The next prime is 234672481. The reversal of 234672480 is 84276432.

It is a tau number, because it is divible by the number of its divisors (288).

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 (234672481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 312105 + ... + 312855.

It is an arithmetic number, because the mean of its divisors is an integer number (3284736).

Almost surely, 2^234672480 is an apocalyptic number.

234672480 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 234672480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473001984).

234672480 is an abundant number, since it is smaller than the sum of its proper divisors (711331488).

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

234672480 is a wasteful number, since it uses less digits than its factorization.

234672480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 234672480 is about 15319.0234675713. The cubic root of 234672480 is about 616.8137611933.

The spelling of 234672480 in words is "two hundred thirty-four million, six hundred seventy-two thousand, four hundred eighty".