406325760 has 160 divisors (see below), whose sum is σ = 1310487552. Its totient is φ = 107397120.

The previous prime is 406325707. The next prime is 406325761. The reversal of 406325760 is 67523604.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (406325761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1466742 + ... + 1467018.

Almost surely, 2^406325760 is an apocalyptic number.

406325760 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 406325760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655243776).

406325760 is an abundant number, since it is smaller than the sum of its proper divisors (904161792).

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

406325760 is a wasteful number, since it uses less digits than its factorization.

406325760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 406325760 is about 20157.5236574337. The cubic root of 406325760 is about 740.6700529484.

The spelling of 406325760 in words is "four hundred six million, three hundred twenty-five thousand, seven hundred sixty".