201405864 has 32 divisors (see below), whose sum is σ = 549289440. Its totient is φ = 61032000.

The previous prime is 201405863. The next prime is 201405877. The reversal of 201405864 is 468504102.

201405864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (201405863) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 381187 + ... + 381714.

It is an arithmetic number, because the mean of its divisors is an integer number (17165295).

Almost surely, 2^201405864 is an apocalyptic number.

201405864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

201405864 is an abundant number, since it is smaller than the sum of its proper divisors (347883576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201405864 is a wasteful number, since it uses less digits than its factorization.

201405864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762921 (or 762917 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 201405864 is about 14191.7533800443. The cubic root of 201405864 is about 586.1706065550.

Adding to 201405864 its reverse (468504102), we get a palindrome (669909966).

The spelling of 201405864 in words is "two hundred one million, four hundred five thousand, eight hundred sixty-four".