406395720 has 96 divisors (see below), whose sum is σ = 1333982520. Its totient is φ = 107289600.

The previous prime is 406395713. The next prime is 406395733. The reversal of 406395720 is 27593604.

It can be written as a sum of positive squares in 4 ways, for example, as 405700164 + 695556 = 20142^2 + 834^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30772 + ... + 41948.

Almost surely, 2^406395720 is an apocalyptic number.

406395720 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 406395720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666991260).

406395720 is an abundant number, since it is smaller than the sum of its proper divisors (927586800).

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

406395720 is a wasteful number, since it uses less digits than its factorization.

406395720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11295 (or 11288 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 406395720 is about 20159.2589149502. The cubic root of 406395720 is about 740.7125593217.

The spelling of 406395720 in words is "four hundred six million, three hundred ninety-five thousand, seven hundred twenty".