400210820 has 24 divisors (see below), whose sum is σ = 851958744. Its totient is φ = 157890816.

The previous prime is 400210807. The next prime is 400210823. The reversal of 400210820 is 28012004.

It can be written as a sum of positive squares in 4 ways, for example, as 101888836 + 298321984 = 10094^2 + 17272^2 .

It is not an unprimeable number, because it can be changed into a prime (400210823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 135599 + ... + 138518.

It is an arithmetic number, because the mean of its divisors is an integer number (35498281).

Almost surely, 2^400210820 is an apocalyptic number.

It is an amenable number.

400210820 is an abundant number, since it is smaller than the sum of its proper divisors (451747924).

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

400210820 is a wasteful number, since it uses less digits than its factorization.

400210820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274199 (or 274197 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 400210820 is about 20005.2698057287. The cubic root of 400210820 is about 736.9357215802.

Adding to 400210820 its reverse (28012004), we get a palindrome (428222824).

The spelling of 400210820 in words is "four hundred million, two hundred ten thousand, eight hundred twenty".