228406080 has 224 divisors, whose sum is σ = 850026240. Its totient is φ = 50872320.

The previous prime is 228406037. The next prime is 228406091. The reversal of 228406080 is 80604822.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 275106 + ... + 275934.

It is an arithmetic number, because the mean of its divisors is an integer number (3794760).

Almost surely, 2^228406080 is an apocalyptic number.

228406080 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 228406080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425013120).

228406080 is an abundant number, since it is smaller than the sum of its proper divisors (621620160).

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

228406080 is a wasteful number, since it uses less digits than its factorization.

228406080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 228406080 is about 15113.1095410574. The cubic root of 228406080 is about 611.2739478157.

It can be divided in two parts, 22840 and 6080, that added together give a triangular number (28920 = T₂₄₀).

The spelling of 228406080 in words is "two hundred twenty-eight million, four hundred six thousand, eighty".