228172464 has 200 divisors, whose sum is σ = 737296560. Its totient is φ = 67640832.

The previous prime is 228172457. The next prime is 228172481. The reversal of 228172464 is 464271822.

228172464 is a `hidden beast` number, since 2 + 28 + 172 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 39 ways as a sum of consecutive naturals, for example, 488359 + ... + 488825.

Almost surely, 2^228172464 is an apocalyptic number.

228172464 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 228172464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368648280).

228172464 is an abundant number, since it is smaller than the sum of its proper divisors (509124096).

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

228172464 is a wasteful number, since it uses less digits than its factorization.

228172464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 514 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 228172464 is about 15105.3786447080. The cubic root of 228172464 is about 611.0654710402.

It can be divided in two parts, 22817 and 2464, that added together give a square (25281 = 159²).

The spelling of 228172464 in words is "two hundred twenty-eight million, one hundred seventy-two thousand, four hundred sixty-four".