4770000 has 150 divisors (see below), whose sum is σ = 16996122. Its totient is φ = 1248000.

The previous prime is 4769987. The next prime is 4770011. The reversal of 4770000 is 774.

It can be written as a sum of positive squares in 5 ways, for example, as 1354896 + 3415104 = 1164^2 + 1848^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 89974 + ... + 90026.

Almost surely, 2^4770000 is an apocalyptic number.

4770000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4770000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8498061).

4770000 is an abundant number, since it is smaller than the sum of its proper divisors (12226122).

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

4770000 is a wasteful number, since it uses less digits than its factorization.

4770000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 18.

The square root of 4770000 is about 2184.0329667842. The cubic root of 4770000 is about 168.3343680839.

Adding to 4770000 its reverse (774), we get a palindrome (4770774).

The spelling of 4770000 in words is "four million, seven hundred seventy thousand".