406681548 has 192 divisors, whose sum is σ = 1302819840. Its totient is φ = 95551488.

The previous prime is 406681523. The next prime is 406681549. The reversal of 406681548 is 845186604.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (406681549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 352140 + ... + 353292.

It is an arithmetic number, because the mean of its divisors is an integer number (6785520).

Almost surely, 2^406681548 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 406681548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651409920).

406681548 is an abundant number, since it is smaller than the sum of its proper divisors (896138292).

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

406681548 is a wasteful number, since it uses less digits than its factorization.

406681548 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 406681548 is about 20166.3469175753. The cubic root of 406681548 is about 740.8861723490.

The spelling of 406681548 in words is "four hundred six million, six hundred eighty-one thousand, five hundred forty-eight".