401947273 has 32 divisors (see below), whose sum is σ = 510540800. Its totient is φ = 307976256.

The previous prime is 401947267. The next prime is 401947277. The reversal of 401947273 is 372749104.

It is a Cunningham number, because it is equal to 738³+1.

It is a de Polignac number, because none of the positive numbers 2^k-401947273 is a prime.

It is a super-2 number, since 2×401947273² = 323123220544273058, which contains 22 as substring.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 401947273 = 1³ + 738³ = 244³ + 729³.

It is not an unprimeable number, because it can be changed into a prime (401947277) 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 31 ways as a sum of consecutive naturals, for example, 543538 + ... + 544276.

It is an arithmetic number, because the mean of its divisors is an integer number (15954400).

Almost surely, 2^401947273 is an apocalyptic number.

401947273 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

It is an amenable number.

401947273 is a deficient number, since it is larger than the sum of its proper divisors (108593527).

401947273 is a wasteful number, since it uses less digits than its factorization.

401947273 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941.

The product of its (nonzero) digits is 42336, while the sum is 37.

The square root of 401947273 is about 20048.6227207756. The cubic root of 401947273 is about 738.0000006120. Note that the first 6 decimals are identical.

The spelling of 401947273 in words is "four hundred one million, nine hundred forty-seven thousand, two hundred seventy-three".