4770900 has 180 divisors, whose sum is σ = 16804480. Its totient is φ = 1166400.

The previous prime is 4770851. The next prime is 4770911. The reversal of 4770900 is 90774.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×4770900² = 45522973620000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 153885 + ... + 153915.

Almost surely, 2^4770900 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 4770900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8402240).

4770900 is an abundant number, since it is smaller than the sum of its proper divisors (12033580).

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

4770900 is a wasteful number, since it uses less digits than its factorization.

4770900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 4770900 is about 2184.2389979121. The cubic root of 4770900 is about 168.3449544853.

The spelling of 4770900 in words is "four million, seven hundred seventy thousand, nine hundred".