406956160 has 128 divisors (see below), whose sum is σ = 1074170160. Its totient is φ = 146472960.

The previous prime is 406956091. The next prime is 406956161. The reversal of 406956160 is 61659604.

It can be written as a sum of positive squares in 8 ways, for example, as 23736384 + 383219776 = 4872^2 + 19576^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×406956160² = 331226632323891200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (406956161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 340524 + ... + 341716.

Almost surely, 2^406956160 is an apocalyptic number.

406956160 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 406956160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537085080).

406956160 is an abundant number, since it is smaller than the sum of its proper divisors (667214000).

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

406956160 is a wasteful number, since it uses less digits than its factorization.

406956160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 406956160 is about 20173.1544385106. The cubic root of 406956160 is about 741.0528961300.

The spelling of 406956160 in words is "four hundred six million, nine hundred fifty-six thousand, one hundred sixty".