4959504 has 120 divisors (see below), whose sum is σ = 15784704. Its totient is φ = 1440000.

The previous prime is 4959503. The next prime is 4959511. The reversal of 4959504 is 4059594.

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

It is not an unprimeable number, because it can be changed into a prime (4959503) 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, 49054 + ... + 49154.

Almost surely, 2^4959504 is an apocalyptic number.

4959504 is a gapful number since it is divisible by the number (44) 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 4959504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7892352).

4959504 is an abundant number, since it is smaller than the sum of its proper divisors (10825200).

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

4959504 is a wasteful number, since it uses less digits than its factorization.

4959504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 4959504 is about 2226.9943870607. The cubic root of 4959504 is about 170.5346947968.

It can be divided in two parts, 495 and 9504, that added together give a palindrome (9999).

The spelling of 4959504 in words is "four million, nine hundred fifty-nine thousand, five hundred four".