229691372400 has 720 divisors, whose sum is σ = 1015351084800. Its totient is φ = 46810275840.

The previous prime is 229691372371. The next prime is 229691372401. The reversal of 229691372400 is 4273196922.

229691372400 is a `hidden beast` number, since 2 + 2 + 96 + 91 + 3 + 72 + 400 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229691372401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8125491 + ... + 8153709.

It is an arithmetic number, because the mean of its divisors is an integer number (1410209840).

Almost surely, 2^229691372400 is an apocalyptic number.

229691372400 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 229691372400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507675542400).

229691372400 is an abundant number, since it is smaller than the sum of its proper divisors (785659712400).

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

229691372400 is a wasteful number, since it uses less digits than its factorization.

229691372400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28286 (or 28272 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 229691372400 in words is "two hundred twenty-nine billion, six hundred ninety-one million, three hundred seventy-two thousand, four hundred".