400964109 has 24 divisors (see below), whose sum is σ = 669745440. Its totient is φ = 211496544.

The previous prime is 400964099. The next prime is 400964111. The reversal of 400964109 is 901469004.

It is not a de Polignac number, because 400964109 - 2⁴ = 400964093 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 400964109.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400964149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102999 + ... + 106820.

It is an arithmetic number, because the mean of its divisors is an integer number (27906060).

Almost surely, 2^400964109 is an apocalyptic number.

400964109 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

400964109 is a deficient number, since it is larger than the sum of its proper divisors (268781331).

400964109 is a wasteful number, since it uses less digits than its factorization.

400964109 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209849 (or 209842 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 400964109 is about 20024.0882189427. The cubic root of 400964109 is about 737.3977927499.

The spelling of 400964109 in words is "four hundred million, nine hundred sixty-four thousand, one hundred nine".