226384502400 has 480 divisors, whose sum is σ = 954760334880. Its totient is φ = 51744614400.

The previous prime is 226384502369. The next prime is 226384502431. The reversal of 226384502400 is 4205483622.

226384502400 is a `hidden beast` number, since 226 + 384 + 50 + 2 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (226384502369) and next prime (226384502431).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1752015 + ... + 1876785.

It is an arithmetic number, because the mean of its divisors is an integer number (1989084031).

Almost surely, 2^226384502400 is an apocalyptic number.

226384502400 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 226384502400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477380167440).

226384502400 is an abundant number, since it is smaller than the sum of its proper divisors (728375832480).

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

226384502400 is a wasteful number, since it uses less digits than its factorization.

226384502400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124814 (or 124788 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 226384502400 in words is "two hundred twenty-six billion, three hundred eighty-four million, five hundred two thousand, four hundred".