406601748 has 96 divisors (see below), whose sum is σ = 1268198400. Its totient is φ = 110053728.

The previous prime is 406601737. The next prime is 406601749. The reversal of 406601748 is 847106604.

406601748 is a `hidden beast` number, since 4 + 0 + 6 + 601 + 7 + 48 = 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 (406601749) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 211 + ... + 28517.

It is an arithmetic number, because the mean of its divisors is an integer number (13210400).

Almost surely, 2^406601748 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 406601748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634099200).

406601748 is an abundant number, since it is smaller than the sum of its proper divisors (861596652).

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

406601748 is a wasteful number, since it uses less digits than its factorization.

406601748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28346 (or 28338 counting only the distinct ones).

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

The square root of 406601748 is about 20164.3682767400. The cubic root of 406601748 is about 740.8377097092.

The spelling of 406601748 in words is "four hundred six million, six hundred one thousand, seven hundred forty-eight".