406646940 has 96 divisors (see below), whose sum is σ = 1303916544. Its totient is φ = 92759040.

The previous prime is 406646927. The next prime is 406646941. The reversal of 406646940 is 49646604.

It is a super-2 number, since 2×406646940² = 330723467622727200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406646941) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 409845 + ... + 410835.

It is an arithmetic number, because the mean of its divisors is an integer number (13582464).

Almost surely, 2^406646940 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 406646940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651958272).

406646940 is an abundant number, since it is smaller than the sum of its proper divisors (897269604).

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

406646940 is a wasteful number, since it uses less digits than its factorization.

406646940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1987 (or 1985 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 406646940 is about 20165.4888361279. The cubic root of 406646940 is about 740.8651556459.

The spelling of 406646940 in words is "four hundred six million, six hundred forty-six thousand, nine hundred forty".