406860720 has 240 divisors, whose sum is σ = 1519054560. Its totient is φ = 89714688.

The previous prime is 406860697. The next prime is 406860733. The reversal of 406860720 is 27068604.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 340444 + ... + 341636.

It is an arithmetic number, because the mean of its divisors is an integer number (6329394).

Almost surely, 2^406860720 is an apocalyptic number.

406860720 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 406860720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759527280).

406860720 is an abundant number, since it is smaller than the sum of its proper divisors (1112193840).

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

406860720 is a wasteful number, since it uses less digits than its factorization.

406860720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 406860720 is about 20170.7887798172. The cubic root of 406860720 is about 740.9949606364.

The spelling of 406860720 in words is "four hundred six million, eight hundred sixty thousand, seven hundred twenty".