4970300544 has 288 divisors, whose sum is σ = 15888092220. Its totient is φ = 1490227200.

The previous prime is 4970300521. The next prime is 4970300551. The reversal of 4970300544 is 4450030794.

4970300544 is a `hidden beast` number, since 49 + 70 + 3 + 0 + 0 + 544 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4968558144 + 1742400 = 70488^2 + 1320^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 4970300499 and 4970300508.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25229854 + ... + 25230050.

Almost surely, 2^4970300544 is an apocalyptic number.

4970300544 is a gapful number since it is divisible by the number (44) 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 4970300544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7944046110).

4970300544 is an abundant number, since it is smaller than the sum of its proper divisors (10917791676).

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

4970300544 is a wasteful number, since it uses less digits than its factorization.

4970300544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 4970300544 is about 70500.3584671738. The cubic root of 4970300544 is about 1706.5835305640.

The spelling of 4970300544 in words is "four billion, nine hundred seventy million, three hundred thousand, five hundred forty-four".