4990464 has 120 divisors (see below), whose sum is σ = 15590520. Its totient is φ = 1575936.

The previous prime is 4990463. The next prime is 4990477. The reversal of 4990464 is 4640994.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4990463) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 262647 + ... + 262665.

It is an arithmetic number, because the mean of its divisors is an integer number (129921).

Almost surely, 2^4990464 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 4990464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7795260).

4990464 is an abundant number, since it is smaller than the sum of its proper divisors (10600056).

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

4990464 is an equidigital number, since it uses as much as digits as its factorization.

4990464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 4990464 is about 2233.9346454183. The cubic root of 4990464 is about 170.8888166136. Note that the first 4 decimals are identical.

Multiplying 4990464 by its product of nonzero digits (31104), we get a square (155223392256 = 393984²).

The spelling of 4990464 in words is "four million, nine hundred ninety thousand, four hundred sixty-four".