406665360 has 280 divisors, whose sum is σ = 1496273280. Its totient is φ = 102456576.

The previous prime is 406665359. The next prime is 406665367. The reversal of 406665360 is 63566604.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (406665367) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1107897 + ... + 1108263.

Almost surely, 2^406665360 is an apocalyptic number.

406665360 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 406665360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748136640).

406665360 is an abundant number, since it is smaller than the sum of its proper divisors (1089607920).

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

406665360 is a wasteful number, since it uses less digits than its factorization.

406665360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 406665360 is about 20165.9455518456. The cubic root of 406665360 is about 740.8763418690.

The spelling of 406665360 in words is "four hundred six million, six hundred sixty-five thousand, three hundred sixty".