5364480 has 144 divisors (see below), whose sum is σ = 18837504. Its totient is φ = 1290240.

The previous prime is 5364473. The next prime is 5364487. The reversal of 5364480 is 844635.

5364480 = T₆₅ + T₆₆ + ... + T₃₁₈.

It is an interprime number because it is at equal distance from previous prime (5364473) and next prime (5364487).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a d-powerful number, because it can be written as 5⁹ + 3⁷ + 6⁴ + 4⁹ + 4¹⁰ + 8⁷ + 0 .

It is not an unprimeable number, because it can be changed into a prime (5364487) 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, 42177 + ... + 42303.

It is an arithmetic number, because the mean of its divisors is an integer number (130816).

Almost surely, 2^5364480 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 5364480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9418752).

5364480 is an abundant number, since it is smaller than the sum of its proper divisors (13473024).

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

5364480 is a wasteful number, since it uses less digits than its factorization.

5364480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 5364480 is about 2316.1347111081. The cubic root of 5364480 is about 175.0555469927.

Subtracting from 5364480 its sum of digits (30), we obtain a triangular number (5364450 = T₃₂₇₅).

The spelling of 5364480 in words is "five million, three hundred sixty-four thousand, four hundred eighty".