406231600 has 60 divisors (see below), whose sum is σ = 987023880. Its totient is φ = 160652800.

The previous prime is 406231583. The next prime is 406231613. The reversal of 406231600 is 6132604.

It is a super-2 number, since 2×406231600² = 330048225677120000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29895 + ... + 41305.

It is an arithmetic number, because the mean of its divisors is an integer number (16450398).

Almost surely, 2^406231600 is an apocalyptic number.

406231600 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 406231600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493511940).

406231600 is an abundant number, since it is smaller than the sum of its proper divisors (580792280).

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

406231600 is a wasteful number, since it uses less digits than its factorization.

406231600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11518 (or 11507 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 406231600 is about 20155.1879177546. The cubic root of 406231600 is about 740.6128354094.

The spelling of 406231600 in words is "four hundred six million, two hundred thirty-one thousand, six hundred".