4977605400 has 96 divisors (see below), whose sum is σ = 15453661200. Its totient is φ = 1325376000.

The previous prime is 4977605383. The next prime is 4977605411. The reversal of 4977605400 is 45067794.

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 419550 + ... + 431250.

Almost surely, 2^4977605400 is an apocalyptic number.

4977605400 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 4977605400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7726830600).

4977605400 is an abundant number, since it is smaller than the sum of its proper divisors (10476055800).

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

4977605400 is a wasteful number, since it uses less digits than its factorization.

4977605400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12429 (or 12420 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The square root of 4977605400 is about 70552.1466718058. The cubic root of 4977605400 is about 1707.4191771912.

The spelling of 4977605400 in words is "four billion, nine hundred seventy-seven million, six hundred five thousand, four hundred".