229869158400 has 1224 divisors, whose sum is σ = 1004033219904. Its totient is φ = 49073356800.

The previous prime is 229869158369. The next prime is 229869158443. The reversal of 229869158400 is 4851968922.

It is a happy number.

229869158400 is a `hidden beast` number, since 2 + 2 + 9 + 86 + 9 + 158 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1754726335 + ... + 1754726465.

Almost surely, 2^229869158400 is an apocalyptic number.

229869158400 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 229869158400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502016609952).

229869158400 is an abundant number, since it is smaller than the sum of its proper divisors (774164061504).

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

229869158400 is a wasteful number, since it uses less digits than its factorization.

229869158400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 229869158400 in words is "two hundred twenty-nine billion, eight hundred sixty-nine million, one hundred fifty-eight thousand, four hundred".