229792464 has 180 divisors, whose sum is σ = 732170400. Its totient is φ = 69284160.

The previous prime is 229792463. The next prime is 229792469. The reversal of 229792464 is 464297922.

It is a happy number.

229792464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×229792464² = 105609153022382592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229792463) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1154637 + ... + 1154835.

Almost surely, 2^229792464 is an apocalyptic number.

229792464 is a gapful number since it is divisible by the number (24) 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 229792464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366085200).

229792464 is an abundant number, since it is smaller than the sum of its proper divisors (502377936).

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

229792464 is an equidigital number, since it uses as much as digits as its factorization.

229792464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 215 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 229792464 is about 15158.9070846153. The cubic root of 229792464 is about 612.5082283498.

The spelling of 229792464 in words is "two hundred twenty-nine million, seven hundred ninety-two thousand, four hundred sixty-four".