405289961 has 8 divisors (see below), whose sum is σ = 416207400. Its totient is φ = 394421760.

The previous prime is 405289957. The next prime is 405290009. The reversal of 405289961 is 169982504.

It can be written as a sum of positive squares in 4 ways, for example, as 156250000 + 249039961 = 12500^2 + 15781^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 405289961 - 2² = 405289957 is a prime.

It is not an unprimeable number, because it can be changed into a prime (405285961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4685 + ... + 28853.

It is an arithmetic number, because the mean of its divisors is an integer number (52025925).

Almost surely, 2^405289961 is an apocalyptic number.

405289961 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

405289961 is a deficient number, since it is larger than the sum of its proper divisors (10917439).

405289961 is a wasteful number, since it uses less digits than its factorization.

405289961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24619.

The product of its (nonzero) digits is 155520, while the sum is 44.

The square root of 405289961 is about 20131.8146474678. The cubic root of 405289961 is about 740.0401493921.

The spelling of 405289961 in words is "four hundred five million, two hundred eighty-nine thousand, nine hundred sixty-one".