247638401 has 16 divisors (see below), whose sum is σ = 265870080. Its totient is φ = 230081280.

The previous prime is 247638379. The next prime is 247638403. The reversal of 247638401 is 104836742.

It is a cyclic number.

It is not a de Polignac number, because 247638401 - 2²⁶ = 180529537 is a prime.

It is a super-2 number, since 2×247638401² = 122649555299673602, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (247638403) 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, 294740 + ... + 295578.

It is an arithmetic number, because the mean of its divisors is an integer number (16616880).

Almost surely, 2^247638401 is an apocalyptic number.

It is an amenable number.

247638401 is a deficient number, since it is larger than the sum of its proper divisors (18231679).

247638401 is a wasteful number, since it uses less digits than its factorization.

247638401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1216.

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 247638401 is about 15736.5307803213. The cubic root of 247638401 is about 627.9706270831.

The spelling of 247638401 in words is "two hundred forty-seven million, six hundred thirty-eight thousand, four hundred one".