400905617 has 16 divisors (see below), whose sum is σ = 478835712. Its totient is φ = 328186320.

The previous prime is 400905601. The next prime is 400905677. The reversal of 400905617 is 716509004.

It is a happy number.

It is not a de Polignac number, because 400905617 - 2⁴ = 400905601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (400905677) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131642 + ... + 134652.

It is an arithmetic number, because the mean of its divisors is an integer number (29927232).

Almost surely, 2^400905617 is an apocalyptic number.

It is an amenable number.

400905617 is a deficient number, since it is larger than the sum of its proper divisors (77930095).

400905617 is a wasteful number, since it uses less digits than its factorization.

400905617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3868.

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 400905617 is about 20022.6276247649. The cubic root of 400905617 is about 737.3619342044.

The spelling of 400905617 in words is "four hundred million, nine hundred five thousand, six hundred seventeen".