234420480 has 720 divisors, whose sum is σ = 1068439680. Its totient is φ = 47775744.

The previous prime is 234420479. The next prime is 234420509. The reversal of 234420480 is 84024432.

It is a happy number.

234420480 is a `hidden beast` number, since 234 + 420 + 4 + 8 + 0 = 666.

234420480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×234420480² = 109905922886860800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12337911 + ... + 12337929.

It is an arithmetic number, because the mean of its divisors is an integer number (1483944).

Almost surely, 2^234420480 is an apocalyptic number.

234420480 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 234420480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534219840).

234420480 is an abundant number, since it is smaller than the sum of its proper divisors (834019200).

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

234420480 is a wasteful number, since it uses less digits than its factorization.

234420480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 234420480 is about 15310.7961909236. The cubic root of 234420480 is about 616.5928962967.

The spelling of 234420480 in words is "two hundred thirty-four million, four hundred twenty thousand, four hundred eighty".