4897200400 has 45 divisors (see below), whose sum is σ = 11768887461. Its totient is φ = 1958320320.

The previous prime is 4897200377. The next prime is 4897200403. The reversal of 4897200400 is 40027984.

It is a happy number.

The square root of 4897200400 is 69980.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1762992144 + 3134208256 = 41988^2 + 55984^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4897200403) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1397851 + ... + 1401349.

Almost surely, 2^4897200400 is an apocalyptic number.

4897200400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4897200400 is the 69980-th square number.

It is an amenable number.

4897200400 is an abundant number, since it is smaller than the sum of its proper divisors (6871687061).

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

4897200400 is an frugal number, since it uses more digits than its factorization.

4897200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7016 (or 3506 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The cubic root of 4897200400 is about 1698.1757131669.

The spelling of 4897200400 in words is "four billion, eight hundred ninety-seven million, two hundred thousand, four hundred".