229478400 has 312 divisors, whose sum is σ = 853174560. Its totient is φ = 60456960.

The previous prime is 229478377. The next prime is 229478407. The reversal of 229478400 is 4874922.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (229478407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2764759 + ... + 2764841.

Almost surely, 2^229478400 is an apocalyptic number.

229478400 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 229478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426587280).

229478400 is an abundant number, since it is smaller than the sum of its proper divisors (623696160).

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

229478400 is an equidigital number, since it uses as much as digits as its factorization.

229478400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 229478400 is about 15148.5444845371. The cubic root of 229478400 is about 612.2290568963.

The spelling of 229478400 in words is "two hundred twenty-nine million, four hundred seventy-eight thousand, four hundred".