406160400 has 120 divisors (see below), whose sum is σ = 1316031840. Its totient is φ = 107064320.

The previous prime is 406160389. The next prime is 406160411. The reversal of 406160400 is 4061604.

It is an interprime number because it is at equal distance from previous prime (406160389) and next prime (406160411).

It is a tau number, because it is divible by the number of its divisors (120).

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, 104899 + ... + 108701.

It is an arithmetic number, because the mean of its divisors is an integer number (10966932).

Almost surely, 2^406160400 is an apocalyptic number.

406160400 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 406160400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658015920).

406160400 is an abundant number, since it is smaller than the sum of its proper divisors (909871440).

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

406160400 is a wasteful number, since it uses less digits than its factorization.

406160400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3913 (or 3902 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 406160400 is about 20153.4215457326. The cubic root of 406160400 is about 740.5695639399.

406160400 divided by its reverse (4061604) gives a square (100 = 10²).

The spelling of 406160400 in words is "four hundred six million, one hundred sixty thousand, four hundred".