4496486400 has 936 divisors, whose sum is σ = 19964284704. Its totient is φ = 943718400.

The previous prime is 4496486387. The next prime is 4496486413. The reversal of 4496486400 is 46846944.

4496486400 is a `hidden beast` number, since 44 + 96 + 486 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4496486387) and next prime (4496486413).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 109670380 + ... + 109670420.

It is an arithmetic number, because the mean of its divisors is an integer number (21329364).

Almost surely, 2^4496486400 is an apocalyptic number.

4496486400 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 4496486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9982142352).

4496486400 is an abundant number, since it is smaller than the sum of its proper divisors (15467798304).

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

4496486400 is a wasteful number, since it uses less digits than its factorization.

4496486400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 4496486400 is about 67055.8453827852. The cubic root of 4496486400 is about 1650.5338217653.

The spelling of 4496486400 in words is "four billion, four hundred ninety-six million, four hundred eighty-six thousand, four hundred".