4965480 has 96 divisors (see below), whose sum is σ = 17395560. Its totient is φ = 1221120.

The previous prime is 4965451. The next prime is 4965481. The reversal of 4965480 is 845694.

It can be written as a sum of positive squares in 4 ways, for example, as 3481956 + 1483524 = 1866^2 + 1218^2 .

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 (4965481) 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, 4150 + ... + 5210.

Almost surely, 2^4965480 is an apocalyptic number.

4965480 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 4965480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8697780).

4965480 is an abundant number, since it is smaller than the sum of its proper divisors (12430080).

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

4965480 is a wasteful number, since it uses less digits than its factorization.

4965480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 4965480 is about 2228.3357018187. The cubic root of 4965480 is about 170.6031630871.

It can be divided in two parts, 4965 and 480, that added together give a palindrome (5445).

The spelling of 4965480 in words is "four million, nine hundred sixty-five thousand, four hundred eighty".