229760294400 has 2160 divisors, whose sum is σ = 1073825520768. Its totient is φ = 46448640000.

The previous prime is 229760294363. The next prime is 229760294443. The reversal of 229760294400 is 4492067922.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2274854350 + ... + 2274854450.

Almost surely, 2^229760294400 is an apocalyptic number.

229760294400 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 229760294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536912760384).

229760294400 is an abundant number, since it is smaller than the sum of its proper divisors (844065226368).

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

229760294400 is a wasteful number, since it uses less digits than its factorization.

229760294400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 162 counting only the distinct ones).

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

The spelling of 229760294400 in words is "two hundred twenty-nine billion, seven hundred sixty million, two hundred ninety-four thousand, four hundred".