401009920 has 36 divisors (see below), whose sum is σ = 960547140. Its totient is φ = 160403456.

The previous prime is 401009911. The next prime is 401009927. The reversal of 401009920 is 29900104.

It can be written as a sum of positive squares in 2 ways, for example, as 156150016 + 244859904 = 12496^2 + 15648^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401009927) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 155365 + ... + 157924.

It is an arithmetic number, because the mean of its divisors is an integer number (26681865).

Almost surely, 2^401009920 is an apocalyptic number.

401009920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401009920 is an abundant number, since it is smaller than the sum of its proper divisors (559537220).

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

401009920 is an equidigital number, since it uses as much as digits as its factorization.

401009920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313310 (or 313296 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

The square root of 401009920 is about 20025.2320835490. The cubic root of 401009920 is about 737.4258747678.

The spelling of 401009920 in words is "four hundred one million, nine thousand, nine hundred twenty".