4764000 has 96 divisors (see below), whose sum is σ = 15646176. Its totient is φ = 1267200.

The previous prime is 4763981. The next prime is 4764037. The reversal of 4764000 is 4674.

It is a tau number, because it is divible by the number of its divisors (96).

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11802 + ... + 12198.

It is an arithmetic number, because the mean of its divisors is an integer number (162981).

Almost surely, 2^4764000 is an apocalyptic number.

4764000 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 4764000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7823088).

4764000 is an abundant number, since it is smaller than the sum of its proper divisors (10882176).

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

4764000 is a wasteful number, since it uses less digits than its factorization.

4764000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 4764000 is about 2182.6589289213. The cubic root of 4764000 is about 168.2637580219.

Adding to 4764000 its reverse (4674), we get a palindrome (4768674).

The spelling of 4764000 in words is "four million, seven hundred sixty-four thousand".