406705488 has 180 divisors, whose sum is σ = 1292595840. Its totient is φ = 109855872.

The previous prime is 406705471. The next prime is 406705489. The reversal of 406705488 is 884507604.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406705489) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 848833 + ... + 849311.

It is an arithmetic number, because the mean of its divisors is an integer number (7181088).

Almost surely, 2^406705488 is an apocalyptic number.

406705488 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 406705488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646297920).

406705488 is an abundant number, since it is smaller than the sum of its proper divisors (885890352).

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

406705488 is a wasteful number, since it uses less digits than its factorization.

406705488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 406705488 is about 20166.9404719705. The cubic root of 406705488 is about 740.9007099047.

The spelling of 406705488 in words is "four hundred six million, seven hundred five thousand, four hundred eighty-eight".