406212400 has 240 divisors, whose sum is σ = 1156890240. Its totient is φ = 135475200.

The previous prime is 406212383. The next prime is 406212403. The reversal of 406212400 is 4212604.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406212403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3594744 + ... + 3594856.

It is an arithmetic number, because the mean of its divisors is an integer number (4820376).

Almost surely, 2^406212400 is an apocalyptic number.

406212400 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 406212400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578445120).

406212400 is an abundant number, since it is smaller than the sum of its proper divisors (750677840).

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

406212400 is a wasteful number, since it uses less digits than its factorization.

406212400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 406212400 is about 20154.7116079591. The cubic root of 406212400 is about 740.6011671964.

The spelling of 406212400 in words is "four hundred six million, two hundred twelve thousand, four hundred".