4962830400 has 1008 divisors, whose sum is σ = 21667988160. Its totient is φ = 1061683200.

The previous prime is 4962830351. The next prime is 4962830401. The reversal of 4962830400 is 40382694.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (4962830401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 51163152 + ... + 51163248.

It is an arithmetic number, because the mean of its divisors is an integer number (21496020).

Almost surely, 2^4962830400 is an apocalyptic number.

4962830400 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 4962830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10833994080).

4962830400 is an abundant number, since it is smaller than the sum of its proper divisors (16705157760).

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

4962830400 is a wasteful number, since it uses less digits than its factorization.

4962830400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4962830400 is about 70447.3590704435. The cubic root of 4962830400 is about 1705.7281284462.

The spelling of 4962830400 in words is "four billion, nine hundred sixty-two million, eight hundred thirty thousand, four hundred".