228614400 has 567 divisors, whose sum is σ = 986910141. Its totient is φ = 52254720.

The previous prime is 228614383. The next prime is 228614417. The reversal of 228614400 is 4416822.

The square root of 228614400 is 15120.

It is a perfect power (a square), and thus also a powerful number.

228614400 is a `hidden beast` number, since 2 + 2 + 8 + 614 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (228614383) and next prime (228614417).

It can be written as a sum of positive squares in only one way, i.e., 82301184 + 146313216 = 9072^2 + 12096^2 .

It is a tau number, because it is divible by the number of its divisors (567).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 32659197 + ... + 32659203.

Almost surely, 2^228614400 is an apocalyptic number.

228614400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

228614400 is the 15120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228614400

228614400 is an abundant number, since it is smaller than the sum of its proper divisors (758295741).

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

228614400 is an frugal number, since it uses more digits than its factorization.

228614400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The cubic root of 228614400 is about 611.4597308071.

It can be divided in two parts, 22861 and 4400, that added together give a triangular number (27261 = T₂₃₃).

The spelling of 228614400 in words is "two hundred twenty-eight million, six hundred fourteen thousand, four hundred".