4897886400 has 504 divisors, whose sum is σ = 19646259920. Its totient is φ = 1186099200.

The previous prime is 4897886381. The next prime is 4897886407. The reversal of 4897886400 is 46887984.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (4897886407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5226732 + ... + 5227668.

Almost surely, 2^4897886400 is an apocalyptic number.

4897886400 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 4897886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9823129960).

4897886400 is an abundant number, since it is smaller than the sum of its proper divisors (14748373520).

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

4897886400 is a wasteful number, since it uses less digits than its factorization.

4897886400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 4897886400 is about 69984.9012287651. The cubic root of 4897886400 is about 1698.2550029687.

The spelling of 4897886400 in words is "four billion, eight hundred ninety-seven million, eight hundred eighty-six thousand, four hundred".