406502880 has 192 divisors, whose sum is σ = 1471841280. Its totient is φ = 92381184.

The previous prime is 406502857. The next prime is 406502917. The reversal of 406502880 is 88205604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1132141 + ... + 1132499.

It is an arithmetic number, because the mean of its divisors is an integer number (7665840).

Almost surely, 2^406502880 is an apocalyptic number.

406502880 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 406502880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735920640).

406502880 is an abundant number, since it is smaller than the sum of its proper divisors (1065338400).

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

406502880 is a wasteful number, since it uses less digits than its factorization.

406502880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 406502880 is about 20161.9165755639. The cubic root of 406502880 is about 740.7776582539. Note that the first 3 decimals are identical.

The spelling of 406502880 in words is "four hundred six million, five hundred two thousand, eight hundred eighty".