406319760 has 480 divisors, whose sum is σ = 1781136000. Its totient is φ = 84188160.

The previous prime is 406319741. The next prime is 406319761. The reversal of 406319760 is 67913604.

406319760 is a `hidden beast` number, since 406 + 3 + 197 + 60 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406319761) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1164066 + ... + 1164414.

It is an arithmetic number, because the mean of its divisors is an integer number (3710700).

Almost surely, 2^406319760 is an apocalyptic number.

406319760 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 406319760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890568000).

406319760 is an abundant number, since it is smaller than the sum of its proper divisors (1374816240).

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

406319760 is a wasteful number, since it uses less digits than its factorization.

406319760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 406319760 is about 20157.3748290793. The cubic root of 406319760 is about 740.6664072347. Note that the first 3 decimals are identical.

The spelling of 406319760 in words is "four hundred six million, three hundred nineteen thousand, seven hundred sixty".