406911960 has 192 divisors, whose sum is σ = 1627778880. Its totient is φ = 85847040.

The previous prime is 406911917. The next prime is 406911991. The reversal of 406911960 is 69119604.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26550 + ... + 38970.

It is an arithmetic number, because the mean of its divisors is an integer number (8478015).

Almost surely, 2^406911960 is an apocalyptic number.

406911960 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 406911960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813889440).

406911960 is an abundant number, since it is smaller than the sum of its proper divisors (1220866920).

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

406911960 is a wasteful number, since it uses less digits than its factorization.

406911960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12458 (or 12451 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 406911960 is about 20172.0588934298. The cubic root of 406911960 is about 741.0260662753.

The spelling of 406911960 in words is "four hundred six million, nine hundred eleven thousand, nine hundred sixty".