226460400 has 180 divisors, whose sum is σ = 771790632. Its totient is φ = 56750080.

The previous prime is 226460341. The next prime is 226460407. The reversal of 226460400 is 4064622.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226460407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 346474 + ... + 347126.

Almost surely, 2^226460400 is an apocalyptic number.

226460400 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 226460400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385895316).

226460400 is an abundant number, since it is smaller than the sum of its proper divisors (545330232).

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

226460400 is a wasteful number, since it uses less digits than its factorization.

226460400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 226460400 is about 15048.6012639049. The cubic root of 226460400 is about 609.5332809091.

The spelling of 226460400 in words is "two hundred twenty-six million, four hundred sixty thousand, four hundred".