401354073 has 24 divisors (see below), whose sum is σ = 590210088. Its totient is φ = 262766592.

The previous prime is 401354069. The next prime is 401354077. The reversal of 401354073 is 370453104.

401354073 is a `hidden beast` number, since 40 + 13 + 540 + 73 = 666.

It is an interprime number because it is at equal distance from previous prime (401354069) and next prime (401354077).

It can be written as a sum of positive squares in 4 ways, for example, as 168272784 + 233081289 = 12972^2 + 15267^2 .

It is not a de Polignac number, because 401354073 - 2² = 401354069 is a prime.

It is a super-2 number, since 2×401354073² = 322170183827378658, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (401354077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167661 + ... + 170037.

It is an arithmetic number, because the mean of its divisors is an integer number (24592087).

Almost surely, 2^401354073 is an apocalyptic number.

It is an amenable number.

401354073 is a deficient number, since it is larger than the sum of its proper divisors (188856015).

401354073 is a wasteful number, since it uses less digits than its factorization.

401354073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2713 (or 2710 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 401354073 is about 20033.8232247367. The cubic root of 401354073 is about 737.6367712632.

The spelling of 401354073 in words is "four hundred one million, three hundred fifty-four thousand, seventy-three".