228405408 has 216 divisors, whose sum is σ = 767650464. Its totient is φ = 58206720.

The previous prime is 228405407. The next prime is 228405413. The reversal of 228405408 is 804504822.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (228405407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4309510 + ... + 4309562.

Almost surely, 2^228405408 is an apocalyptic number.

228405408 is a gapful number since it is divisible by the number (28) 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 228405408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383825232).

228405408 is an abundant number, since it is smaller than the sum of its proper divisors (539245056).

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

228405408 is a wasteful number, since it uses less digits than its factorization.

228405408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The square root of 228405408 is about 15113.0873086871. The cubic root of 228405408 is about 611.2733483330.

The spelling of 228405408 in words is "two hundred twenty-eight million, four hundred five thousand, four hundred eight".