406850400 has 324 divisors, whose sum is σ = 1580312916. Its totient is φ = 98419200.

The previous prime is 406850399. The next prime is 406850413. The reversal of 406850400 is 4058604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 870967 + ... + 871433.

It is an arithmetic number, because the mean of its divisors is an integer number (4877509).

Almost surely, 2^406850400 is an apocalyptic number.

406850400 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 406850400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790156458).

406850400 is an abundant number, since it is smaller than the sum of its proper divisors (1173462516).

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

406850400 is a wasteful number, since it uses less digits than its factorization.

406850400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 406850400 is about 20170.5329627157. The cubic root of 406850400 is about 740.9886954845.

The spelling of 406850400 in words is "four hundred six million, eight hundred fifty thousand, four hundred".