406033280 has 64 divisors (see below), whose sum is σ = 987217200. Its totient is φ = 159645696.

The previous prime is 406033273. The next prime is 406033289. The reversal of 406033280 is 82330604.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406033289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32384 + ... + 43136.

Almost surely, 2^406033280 is an apocalyptic number.

406033280 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 406033280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493608600).

406033280 is an abundant number, since it is smaller than the sum of its proper divisors (581183920).

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

406033280 is a wasteful number, since it uses less digits than its factorization.

406033280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10831 (or 10819 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 406033280 is about 20150.2674920210. The cubic root of 406033280 is about 740.4922947739.

Adding to 406033280 its reverse (82330604), we get a palindrome (488363884).

The spelling of 406033280 in words is "four hundred six million, thirty-three thousand, two hundred eighty".