228740400 has 360 divisors, whose sum is σ = 941472480. Its totient is φ = 50319360.

The previous prime is 228740383. The next prime is 228740417. The reversal of 228740400 is 4047822.

It is an interprime number because it is at equal distance from previous prime (228740383) and next prime (228740417).

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 730644 + ... + 730956.

Almost surely, 2^228740400 is an apocalyptic number.

228740400 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 228740400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470736240).

228740400 is an abundant number, since it is smaller than the sum of its proper divisors (712732080).

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

228740400 is a wasteful number, since it uses less digits than its factorization.

228740400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 228740400 is about 15124.1660927140. The cubic root of 228740400 is about 611.5720447824.

The spelling of 228740400 in words is "two hundred twenty-eight million, seven hundred forty thousand, four hundred".