228874464 has 384 divisors, whose sum is σ = 853493760. Its totient is φ = 58060800.

The previous prime is 228874439. The next prime is 228874517. The reversal of 228874464 is 464478822.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3223549 + ... + 3223619.

It is an arithmetic number, because the mean of its divisors is an integer number (2222640).

Almost surely, 2^228874464 is an apocalyptic number.

228874464 is a gapful number since it is divisible by the number (24) 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 228874464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426746880).

228874464 is an abundant number, since it is smaller than the sum of its proper divisors (624619296).

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

228874464 is a wasteful number, since it uses less digits than its factorization.

228874464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 137 counting only the distinct ones).

The product of its digits is 688128, while the sum is 45.

The square root of 228874464 is about 15128.5975556229. The cubic root of 228874464 is about 611.6915015725.

The spelling of 228874464 in words is "two hundred twenty-eight million, eight hundred seventy-four thousand, four hundred sixty-four".