4800690 has 48 divisors (see below), whose sum is σ = 12796056. Its totient is φ = 1248000.

The previous prime is 4800683. The next prime is 4800703. The reversal of 4800690 is 960084.

It can be written as a sum of positive squares in 4 ways, for example, as 915849 + 3884841 = 957^2 + 1971^2 .

It is a super-2 number, since 2×4800690² = 46093248952200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3040 + ... + 4340.

Almost surely, 2^4800690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4800690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6398028).

4800690 is an abundant number, since it is smaller than the sum of its proper divisors (7995366).

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

4800690 is a wasteful number, since it uses less digits than its factorization.

4800690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1355 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 4800690 is about 2191.0476945973. The cubic root of 4800690 is about 168.6946155695.

Subtracting from 4800690 its reverse (960084), we obtain a triangular number (3840606 = T₂₇₇₁).

The spelling of 4800690 in words is "four million, eight hundred thousand, six hundred ninety".