4807665400 has 96 divisors (see below), whose sum is σ = 11383200000. Its totient is φ = 1887937920.

The previous prime is 4807665377. The next prime is 4807665431. The reversal of 4807665400 is 45667084.

It is a super-3 number, since 3×4807665400³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6686241 + ... + 6686959.

It is an arithmetic number, because the mean of its divisors is an integer number (118575000).

Almost surely, 2^4807665400 is an apocalyptic number.

4807665400 is a gapful number since it is divisible by the number (40) 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 4807665400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5691600000).

4807665400 is an abundant number, since it is smaller than the sum of its proper divisors (6575534600).

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

4807665400 is a wasteful number, since it uses less digits than its factorization.

4807665400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1301 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The square root of 4807665400 is about 69337.3304937535. The cubic root of 4807665400 is about 1687.7628042459.

The spelling of 4807665400 in words is "four billion, eight hundred seven million, six hundred sixty-five thousand, four hundred".