228503120400 has 405 divisors, whose sum is σ = 822574737543. Its totient is φ = 58739097600.

The previous prime is 228503120387. The next prime is 228503120401. The reversal of 228503120400 is 4021305822.

The square root of 228503120400 is 478020.

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

228503120400 is a `hidden beast` number, since 228 + 5 + 0 + 31 + 2 + 0 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 56151937296 + 172351183104 = 236964^2 + 415152^2 .

It is not an unprimeable number, because it can be changed into a prime (228503120401) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 889117072 + ... + 889117328.

Almost surely, 2^228503120400 is an apocalyptic number.

228503120400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

228503120400 is the 478020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228503120400

228503120400 is an abundant number, since it is smaller than the sum of its proper divisors (594071617143).

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

228503120400 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (228503120399) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (600).

228503120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 228503120400 in words is "two hundred twenty-eight billion, five hundred three million, one hundred twenty thousand, four hundred".