4951440 has 180 divisors, whose sum is σ = 18720156. Its totient is φ = 1165824.

The previous prime is 4951439. The next prime is 4951459. The reversal of 4951440 is 441594.

It can be written as a sum of positive squares in 2 ways, for example, as 1218816 + 3732624 = 1104^2 + 1932^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 215269 + ... + 215291.

Almost surely, 2^4951440 is an apocalyptic number.

4951440 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 4951440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9360078).

4951440 is an abundant number, since it is smaller than the sum of its proper divisors (13768716).

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

4951440 is a wasteful number, since it uses less digits than its factorization.

4951440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 4951440 is about 2225.1831385304. The cubic root of 4951440 is about 170.4422166113.

The spelling of 4951440 in words is "four million, nine hundred fifty-one thousand, four hundred forty".