234071460480 has 1536 divisors, whose sum is σ = 964874695680. Its totient is φ = 47752151040.

The previous prime is 234071460473. The next prime is 234071460487. The reversal of 234071460480 is 84064170432.

It is an interprime number because it is at equal distance from previous prime (234071460473) and next prime (234071460487).

It is a super-2 number, since 2×234071460480² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (234071460487) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2413107792 + ... + 2413107888.

It is an arithmetic number, because the mean of its divisors is an integer number (628173630).

Almost surely, 2^234071460480 is an apocalyptic number.

234071460480 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 234071460480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482437347840).

234071460480 is an abundant number, since it is smaller than the sum of its proper divisors (730803235200).

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

234071460480 is a wasteful number, since it uses less digits than its factorization.

234071460480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The spelling of 234071460480 in words is "two hundred thirty-four billion, seventy-one million, four hundred sixty thousand, four hundred eighty".