406242920 has 64 divisors (see below), whose sum is σ = 933690240. Its totient is φ = 159033600.

The previous prime is 406242911. The next prime is 406242923. The reversal of 406242920 is 29242604.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (406242923) 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 15 ways as a sum of consecutive naturals, for example, 807389 + ... + 807891.

It is an arithmetic number, because the mean of its divisors is an integer number (14588910).

Almost surely, 2^406242920 is an apocalyptic number.

406242920 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 406242920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466845120).

406242920 is an abundant number, since it is smaller than the sum of its proper divisors (527447320).

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

406242920 is a wasteful number, since it uses less digits than its factorization.

406242920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 406242920 is about 20155.4687367970. The cubic root of 406242920 is about 740.6197146210.

The spelling of 406242920 in words is "four hundred six million, two hundred forty-two thousand, nine hundred twenty".