4735980 has 72 divisors (see below), whose sum is σ = 14584752. Its totient is φ = 1243776.

The previous prime is 4735967. The next prime is 4735987. The reversal of 4735980 is 895374.

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

It is not an unprimeable number, because it can be changed into a prime (4735987) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14782 + ... + 15098.

It is an arithmetic number, because the mean of its divisors is an integer number (202566).

Almost surely, 2^4735980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4735980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7292376).

4735980 is an abundant number, since it is smaller than the sum of its proper divisors (9848772).

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

4735980 is a wasteful number, since it uses less digits than its factorization.

4735980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 4735980 is about 2176.2306863014. The cubic root of 4735980 is about 167.9332217592.

Subtracting from 4735980 its reverse (895374), we obtain a triangular number (3840606 = T₂₇₇₁).

The spelling of 4735980 in words is "four million, seven hundred thirty-five thousand, nine hundred eighty".