228350400 has 168 divisors, whose sum is σ = 757604784. Its totient is φ = 60211200.

The previous prime is 228350387. The next prime is 228350401. The reversal of 228350400 is 4053822.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228350401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 542190 + ... + 542610.

Almost surely, 2^228350400 is an apocalyptic number.

228350400 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 228350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378802392).

228350400 is an abundant number, since it is smaller than the sum of its proper divisors (529254384).

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

228350400 is a wasteful number, since it uses less digits than its factorization.

228350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 228350400 is about 15111.2673194541. The cubic root of 228350400 is about 611.2242724021.

The spelling of 228350400 in words is "two hundred twenty-eight million, three hundred fifty thousand, four hundred".