4965440 has 56 divisors (see below), whose sum is σ = 12070080. Its totient is φ = 1945088.

The previous prime is 4965421. The next prime is 4965449. The reversal of 4965440 is 445694.

It is a happy number.

It is a hoax number, since the sum of its digits (32) 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 (32).

It is a junction number, because it is equal to n+sod(n) for n = 4965397 and 4965406.

It is not an unprimeable number, because it can be changed into a prime (4965449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18749 + ... + 19011.

Almost surely, 2^4965440 is an apocalyptic number.

4965440 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 4965440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6035040).

4965440 is an abundant number, since it is smaller than the sum of its proper divisors (7104640).

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

4965440 is a wasteful number, since it uses less digits than its factorization.

4965440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 4965440 is about 2228.3267264923. The cubic root of 4965440 is about 170.6027049814.

It can be divided in two parts, 49654 and 40, that added together give a palindrome (49694).

The spelling of 4965440 in words is "four million, nine hundred sixty-five thousand, four hundred forty".