5462080 has 84 divisors (see below), whose sum is σ = 14223492. Its totient is φ = 1996800.

The previous prime is 5462071. The next prime is 5462087. The reversal of 5462080 is 802645.

It can be written as a sum of positive squares in 6 ways, for example, as 153664 + 5308416 = 392^2 + 2304^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5462087) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54030 + ... + 54130.

Almost surely, 2^5462080 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 5462080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7111746).

5462080 is an abundant number, since it is smaller than the sum of its proper divisors (8761412).

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

5462080 is a wasteful number, since it uses less digits than its factorization.

5462080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 5462080 is about 2337.1093256414. The cubic root of 5462080 is about 176.1108117596.

It can be divided in two parts, 5 and 462080, that multiplied together give a square (2310400 = 1520²).

The spelling of 5462080 in words is "five million, four hundred sixty-two thousand, eighty".