271672401 has 48 divisors (see below), whose sum is σ = 489093120. Its totient is φ = 130253760.

The previous prime is 271672391. The next prime is 271672441. The reversal of 271672401 is 104276172.

It is not a de Polignac number, because 271672401 - 2⁵ = 271672369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (271672441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35560 + ... + 42518.

It is an arithmetic number, because the mean of its divisors is an integer number (10189440).

Almost surely, 2^271672401 is an apocalyptic number.

271672401 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

271672401 is a deficient number, since it is larger than the sum of its proper divisors (217420719).

271672401 is a wasteful number, since it uses less digits than its factorization.

271672401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7006 (or 6993 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 271672401 is about 16482.4877066540. The cubic root of 271672401 is about 647.6621347779.

The spelling of 271672401 in words is "two hundred seventy-one million, six hundred seventy-two thousand, four hundred one".