4951983400 has 384 divisors, whose sum is σ = 14959042560. Its totient is φ = 1482624000.

The previous prime is 4951983391. The next prime is 4951983511. The reversal of 4951983400 is 43891594.

It is a happy number.

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 95 ways as a sum of consecutive naturals, for example, 37801335 + ... + 37801465.

It is an arithmetic number, because the mean of its divisors is an integer number (38955840).

Almost surely, 2^4951983400 is an apocalyptic number.

4951983400 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 4951983400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7479521280).

4951983400 is an abundant number, since it is smaller than the sum of its proper divisors (10007059160).

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

4951983400 is a wasteful number, since it uses less digits than its factorization.

4951983400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

The square root of 4951983400 is about 70370.3303957001. The cubic root of 4951983400 is about 1704.4845149198.

The spelling of 4951983400 in words is "four billion, nine hundred fifty-one million, nine hundred eighty-three thousand, four hundred".