4162900 has 72 divisors (see below), whose sum is σ = 10902080. Its totient is φ = 1347840.

The previous prime is 4162889. The next prime is 4162901. The reversal of 4162900 is 92614.

4162900 = 396² + 397² + ... + 420².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4162901) 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, 13144 + ... + 13456.

Almost surely, 2^4162900 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 4162900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5451040).

4162900 is an abundant number, since it is smaller than the sum of its proper divisors (6739180).

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

4162900 is a wasteful number, since it uses less digits than its factorization.

4162900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 4162900 is about 2040.3186025717. The cubic root of 4162900 is about 160.8663937931.

The spelling of 4162900 in words is "four million, one hundred sixty-two thousand, nine hundred".