408374961 has 16 divisors (see below), whose sum is σ = 573696000. Its totient is φ = 257678928.

The previous prime is 408374951. The next prime is 408374971. The reversal of 408374961 is 169473804.

It is an interprime number because it is at equal distance from previous prime (408374951) and next prime (408374971).

It is not a de Polignac number, because 408374961 - 2¹⁰ = 408373937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (408374951) 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, 72940 + ... + 78338.

It is an arithmetic number, because the mean of its divisors is an integer number (35856000).

Almost surely, 2^408374961 is an apocalyptic number.

It is an amenable number.

408374961 is a deficient number, since it is larger than the sum of its proper divisors (165321039).

408374961 is a wasteful number, since it uses less digits than its factorization.

408374961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6748.

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 408374961 is about 20208.2894130107. The cubic root of 408374961 is about 741.9130928696.

The spelling of 408374961 in words is "four hundred eight million, three hundred seventy-four thousand, nine hundred sixty-one".