207872464 has 120 divisors (see below), whose sum is σ = 471967560. Its totient is φ = 88252416.

The previous prime is 207872461. The next prime is 207872507. The reversal of 207872464 is 464278702.

It can be written as a sum of positive squares in 4 ways, for example, as 63680400 + 144192064 = 7980^2 + 12008^2 .

It is a super-2 number, since 2×207872464² = 86421922578862592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (207872461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2847532 + ... + 2847604.

It is an arithmetic number, because the mean of its divisors is an integer number (3933063).

Almost surely, 2^207872464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 207872464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235983780).

207872464 is an abundant number, since it is smaller than the sum of its proper divisors (264095096).

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

207872464 is a wasteful number, since it uses less digits than its factorization.

207872464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 40.

The square root of 207872464 is about 14417.7829086167. The cubic root of 207872464 is about 592.3780911986.

The spelling of 207872464 in words is "two hundred seven million, eight hundred seventy-two thousand, four hundred sixty-four".