4735060416 has 280 divisors, whose sum is σ = 14799527424. Its totient is φ = 1494028800.

The previous prime is 4735060397. The next prime is 4735060441. The reversal of 4735060416 is 6140605374.

It is a happy number.

4735060416 is a `hidden beast` number, since 4 + 7 + 35 + 0 + 604 + 16 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18003901 + ... + 18004163.

Almost surely, 2^4735060416 is an apocalyptic number.

4735060416 is a gapful number since it is divisible by the number (46) 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 4735060416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7399763712).

4735060416 is an abundant number, since it is smaller than the sum of its proper divisors (10064467008).

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

4735060416 is a wasteful number, since it uses less digits than its factorization.

4735060416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 442 counting only the distinct ones).

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

The square root of 4735060416 is about 68811.7752713880. The cubic root of 4735060416 is about 1679.2235187235.

The spelling of 4735060416 in words is "four billion, seven hundred thirty-five million, sixty thousand, four hundred sixteen".