406717920 has 288 divisors, whose sum is σ = 1602514368. Its totient is φ = 92012544.

The previous prime is 406717907. The next prime is 406717957. The reversal of 406717920 is 29717604.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1582432 + ... + 1582688.

It is an arithmetic number, because the mean of its divisors is an integer number (5564286).

Almost surely, 2^406717920 is an apocalyptic number.

406717920 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 406717920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801257184).

406717920 is an abundant number, since it is smaller than the sum of its proper divisors (1195796448).

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

406717920 is a wasteful number, since it uses less digits than its factorization.

406717920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 406717920 is about 20167.2486968352. The cubic root of 406717920 is about 740.9082590068.

The spelling of 406717920 in words is "four hundred six million, seven hundred seventeen thousand, nine hundred twenty".