4406860800 has 396 divisors, whose sum is σ = 16314033216. Its totient is φ = 1135411200.

The previous prime is 4406860763. The next prime is 4406860807. The reversal of 4406860800 is 80686044.

4406860800 is a `hidden beast` number, since 4 + 40 + 6 + 8 + 608 + 0 + 0 = 666.

It is a super-2 number, since 2×4406860800² = 38840844221153280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4406860807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7142092 + ... + 7142708.

Almost surely, 2^4406860800 is an apocalyptic number.

4406860800 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 4406860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8157016608).

4406860800 is an abundant number, since it is smaller than the sum of its proper divisors (11907172416).

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

4406860800 is a wasteful number, since it uses less digits than its factorization.

4406860800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 4406860800 is about 66384.1908890965. The cubic root of 4406860800 is about 1639.4937957832.

The spelling of 4406860800 in words is "four billion, four hundred six million, eight hundred sixty thousand, eight hundred".