4967440 has 40 divisors (see below), whose sum is σ = 11927808. Its totient is φ = 1921920.

The previous prime is 4967423. The next prime is 4967449. The reversal of 4967440 is 447694.

It is a tau number, because it is divible by the number of its divisors (40).

It is a d-powerful number, because it can be written as 4⁴ + 9⁷ + 6 + 7⁶ + 4⁵ + 4⁸ + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 4967396 and 4967405.

It is not an unprimeable number, because it can be changed into a prime (4967449) 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, 1479 + ... + 3481.

Almost surely, 2^4967440 is an apocalyptic number.

4967440 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 4967440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5963904).

4967440 is an abundant number, since it is smaller than the sum of its proper divisors (6960368).

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

4967440 is a wasteful number, since it uses less digits than its factorization.

4967440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2047 (or 2041 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 4967440 is about 2228.7754485367. The cubic root of 4967440 is about 170.6256072559.

The spelling of 4967440 in words is "four million, nine hundred sixty-seven thousand, four hundred forty".