406604940 has 288 divisors, whose sum is σ = 1447891200. Its totient is φ = 84672000.

The previous prime is 406604927. The next prime is 406604953. The reversal of 406604940 is 49406604.

It is an interprime number because it is at equal distance from previous prime (406604927) and next prime (406604953).

It is a congruent number.

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, 1619815 + ... + 1620065.

It is an arithmetic number, because the mean of its divisors is an integer number (5027400).

Almost surely, 2^406604940 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 406604940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723945600).

406604940 is an abundant number, since it is smaller than the sum of its proper divisors (1041286260).

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

406604940 is a wasteful number, since it uses less digits than its factorization.

406604940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 406604940 is about 20164.4474261012. The cubic root of 406604940 is about 740.8396483366.

The spelling of 406604940 in words is "four hundred six million, six hundred four thousand, nine hundred forty".