400268121 has 48 divisors (see below), whose sum is σ = 620524800. Its totient is φ = 228954880.

The previous prime is 400268119. The next prime is 400268131. The reversal of 400268121 is 121862004.

It is not a de Polignac number, because 400268121 - 2¹ = 400268119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 400268091 and 400268100.

It is not an unprimeable number, because it can be changed into a prime (400268131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 494365 + ... + 495173.

It is an arithmetic number, because the mean of its divisors is an integer number (12927600).

Almost surely, 2^400268121 is an apocalyptic number.

It is an amenable number.

400268121 is a deficient number, since it is larger than the sum of its proper divisors (220256679).

400268121 is a wasteful number, since it uses less digits than its factorization.

400268121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 400268121 is about 20006.7019021127. The cubic root of 400268121 is about 736.9708906599.

The spelling of 400268121 in words is "four hundred million, two hundred sixty-eight thousand, one hundred twenty-one".