4456540 has 48 divisors (see below), whose sum is σ = 10450944. Its totient is φ = 1582400.

The previous prime is 4456513. The next prime is 4456541. The reversal of 4456540 is 456544.

4456540 = T₈₁ + T₈₂ + ... + T₃₀₀.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4456499 and 4456508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4456541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10125 + ... + 10555.

It is an arithmetic number, because the mean of its divisors is an integer number (217728).

Almost surely, 2^4456540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4456540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5225472).

4456540 is an abundant number, since it is smaller than the sum of its proper divisors (5994404).

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

4456540 is a wasteful number, since it uses less digits than its factorization.

4456540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 4456540 is about 2111.0518705138. The cubic root of 4456540 is about 164.5631542138.

The spelling of 4456540 in words is "four million, four hundred fifty-six thousand, five hundred forty".