4960900 has 72 divisors (see below), whose sum is σ = 12985280. Its totient is φ = 1607040.

The previous prime is 4960883. The next prime is 4960903. The reversal of 4960900 is 90694.

It is a super-2 number, since 2×4960900² = 49221057620000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (4960903) 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, 13114 + ... + 13486.

Almost surely, 2^4960900 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 4960900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6492640).

4960900 is an abundant number, since it is smaller than the sum of its proper divisors (8024380).

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

4960900 is a wasteful number, since it uses less digits than its factorization.

4960900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 4960900 is about 2227.3077919318. The cubic root of 4960900 is about 170.5506939841.

The spelling of 4960900 in words is "four million, nine hundred sixty thousand, nine hundred".