4835970900 has 108 divisors (see below), whose sum is σ = 15308449884. Its totient is φ = 1276800000.

The previous prime is 4835970899. The next prime is 4835970901. The reversal of 4835970900 is 90795384.

It is an interprime number because it is at equal distance from previous prime (4835970899) and next prime (4835970901).

It can be written as a sum of positive squares in 6 ways, for example, as 430728516 + 4405242384 = 20754^2 + 66372^2 .

It is a super-2 number, since 2×4835970900² = 46773229091293620000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4835970901) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 64300 + ... + 117500.

Almost surely, 2^4835970900 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 4835970900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7654224942).

4835970900 is an abundant number, since it is smaller than the sum of its proper divisors (10472478984).

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

4835970900 is a wasteful number, since it uses less digits than its factorization.

4835970900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53322 (or 53312 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 4835970900 is about 69541.1453745191. The cubic root of 4835970900 is about 1691.0686027901.

The spelling of 4835970900 in words is "four billion, eight hundred thirty-five million, nine hundred seventy thousand, nine hundred".