406784280 has 128 divisors (see below), whose sum is σ = 1423296000. Its totient is φ = 92969856.

The previous prime is 406784239. The next prime is 406784299. The reversal of 406784280 is 82487604.

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, 36219 + ... + 46101.

It is an arithmetic number, because the mean of its divisors is an integer number (11119500).

Almost surely, 2^406784280 is an apocalyptic number.

406784280 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 406784280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711648000).

406784280 is an abundant number, since it is smaller than the sum of its proper divisors (1016511720).

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

406784280 is a wasteful number, since it uses less digits than its factorization.

406784280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9918 (or 9900 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 406784280 is about 20168.8938715042. The cubic root of 406784280 is about 740.9485522878.

The spelling of 406784280 in words is "four hundred six million, seven hundred eighty-four thousand, two hundred eighty".