238813407 has 64 divisors (see below), whose sum is σ = 418176000. Its totient is φ = 134628480.

The previous prime is 238813403. The next prime is 238813411. The reversal of 238813407 is 704318832.

238813407 is a `hidden beast` number, since 238 + 8 + 13 + 407 = 666.

238813407 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (238813403) and next prime (238813411).

It is not a de Polignac number, because 238813407 - 2² = 238813403 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238813403) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 990807 + ... + 991047.

It is an arithmetic number, because the mean of its divisors is an integer number (6534000).

Almost surely, 2^238813407 is an apocalyptic number.

238813407 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

238813407 is a deficient number, since it is larger than the sum of its proper divisors (179362593).

238813407 is a wasteful number, since it uses less digits than its factorization.

238813407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 238813407 is about 15453.5888064876. The cubic root of 238813407 is about 620.4206363394.

The spelling of 238813407 in words is "two hundred thirty-eight million, eight hundred thirteen thousand, four hundred seven".