406340460 has 288 divisors, whose sum is σ = 1427025600. Its totient is φ = 92897280.

The previous prime is 406340449. The next prime is 406340483. The reversal of 406340460 is 64043604.

It is a happy number.

It is a super-2 number, since 2×406340460² = 330225138866023200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1685940 + ... + 1686180.

It is an arithmetic number, because the mean of its divisors is an integer number (4954950).

Almost surely, 2^406340460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406340460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713512800).

406340460 is an abundant number, since it is smaller than the sum of its proper divisors (1020685140).

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

406340460 is a wasteful number, since it uses less digits than its factorization.

406340460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 406340460 is about 20157.8882822581. Note that the first 3 decimals coincide. The cubic root of 406340460 is about 740.6789847953.

The spelling of 406340460 in words is "four hundred six million, three hundred forty thousand, four hundred sixty".