405226364000 has 96 divisors (see below), whose sum is σ = 1000855844352. Its totient is φ = 161241600000.

The previous prime is 405226363991. The next prime is 405226364003. The reversal of 405226364000 is 463622504.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405226364003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 498800 + ... + 1029200.

It is an arithmetic number, because the mean of its divisors is an integer number (10425581712).

Almost surely, 2^405226364000 is an apocalyptic number.

405226364000 is a gapful number since it is divisible by the number (40) 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 405226364000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500427922176).

405226364000 is an abundant number, since it is smaller than the sum of its proper divisors (595629480352).

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

405226364000 is a wasteful number, since it uses less digits than its factorization.

405226364000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530617 (or 530599 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

Adding to 405226364000 its reverse (463622504), we get a palindrome (405689986504).

The spelling of 405226364000 in words is "four hundred five billion, two hundred twenty-six million, three hundred sixty-four thousand".