406161400 has 48 divisors (see below), whose sum is σ = 953722440. Its totient is φ = 160848000.

The previous prime is 406161373. The next prime is 406161403. The reversal of 406161400 is 4161604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406161403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10147 + ... + 30253.

Almost surely, 2^406161400 is an apocalyptic number.

406161400 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 406161400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476861220).

406161400 is an abundant number, since it is smaller than the sum of its proper divisors (547561040).

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

406161400 is a wasteful number, since it uses less digits than its factorization.

406161400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20224 (or 20215 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 406161400 is about 20153.4463554004. The cubic root of 406161400 is about 740.5701717202.

The spelling of 406161400 in words is "four hundred six million, one hundred sixty-one thousand, four hundred".