4865937408 has 208 divisors, whose sum is σ = 15050471040. Its totient is φ = 1550647296.

The previous prime is 4865937407. The next prime is 4865937467. The reversal of 4865937408 is 8047395684.

4865937408 is a `hidden beast` number, since 4 + 8 + 6 + 593 + 7 + 40 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4865937403) 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, 2542660 + ... + 2544572.

Almost surely, 2^4865937408 is an apocalyptic number.

4865937408 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4865937408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7525235520).

4865937408 is an abundant number, since it is smaller than the sum of its proper divisors (10184533632).

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

4865937408 is a wasteful number, since it uses less digits than its factorization.

4865937408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1969 (or 1941 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The square root of 4865937408 is about 69756.2714599913. The cubic root of 4865937408 is about 1694.5543632289.

The spelling of 4865937408 in words is "four billion, eight hundred sixty-five million, nine hundred thirty-seven thousand, four hundred eight".