5349456 has 160 divisors (see below), whose sum is σ = 18451200. Its totient is φ = 1451520.

The previous prime is 5349451. The next prime is 5349457. The reversal of 5349456 is 6549435.

5349456 = 80³ + 81³ + ... + 88³.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5349456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5349451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87666 + ... + 87726.

It is an arithmetic number, because the mean of its divisors is an integer number (115320).

Almost surely, 2^5349456 is an apocalyptic number.

5349456 is a gapful number since it is divisible by the number (56) 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 5349456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9225600).

5349456 is an abundant number, since it is smaller than the sum of its proper divisors (13101744).

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

5349456 is a wasteful number, since it uses less digits than its factorization.

5349456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 102 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 5349456 is about 2312.8891023999. The cubic root of 5349456 is about 174.8919714223.

The spelling of 5349456 in words is "five million, three hundred forty-nine thousand, four hundred fifty-six".