406701648 has 200 divisors, whose sum is σ = 1244491776. Its totient is φ = 128044800.

The previous prime is 406701643. The next prime is 406701653. The reversal of 406701648 is 846107604.

406701648 is a `hidden beast` number, since 4 + 0 + 6 + 7 + 0 + 1 + 648 = 666.

It is an interprime number because it is at equal distance from previous prime (406701643) and next prime (406701653).

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 (406701641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2129233 + ... + 2129423.

Almost surely, 2^406701648 is an apocalyptic number.

406701648 is a gapful number since it is divisible by the number (48) 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 406701648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622245888).

406701648 is an abundant number, since it is smaller than the sum of its proper divisors (837790128).

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

406701648 is a wasteful number, since it uses less digits than its factorization.

406701648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 406701648 is about 20166.8452664268. The cubic root of 406701648 is about 740.8983781046.

The spelling of 406701648 in words is "four hundred six million, seven hundred one thousand, six hundred forty-eight".