4962490400 has 144 divisors (see below), whose sum is σ = 14660061696. Its totient is φ = 1601310720.

The previous prime is 4962490399. The next prime is 4962490439. The reversal of 4962490400 is 40942694.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69137 + ... + 121263.

It is an arithmetic number, because the mean of its divisors is an integer number (101805984).

Almost surely, 2^4962490400 is an apocalyptic number.

4962490400 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 4962490400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7330030848).

4962490400 is an abundant number, since it is smaller than the sum of its proper divisors (9697571296).

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

4962490400 is a wasteful number, since it uses less digits than its factorization.

4962490400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52171 (or 52158 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The square root of 4962490400 is about 70444.9458797436. The cubic root of 4962490400 is about 1705.6891748142.

The spelling of 4962490400 in words is "four billion, nine hundred sixty-two million, four hundred ninety thousand, four hundred".