228606908400 has 1620 divisors, whose sum is σ = 980733081744. Its totient is φ = 49025433600.

The previous prime is 228606908399. The next prime is 228606908449. The reversal of 228606908400 is 4809606822.

It is a super-2 number, since 2×228606908400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 7374416385 + ... + 7374416415.

Almost surely, 2^228606908400 is an apocalyptic number.

228606908400 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 228606908400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490366540872).

228606908400 is an abundant number, since it is smaller than the sum of its proper divisors (752126173344).

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

228606908400 is a wasteful number, since it uses less digits than its factorization.

228606908400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 228606908400 in words is "two hundred twenty-eight billion, six hundred six million, nine hundred eight thousand, four hundred".