5346260400 has 240 divisors, whose sum is σ = 18511627680. Its totient is φ = 1311129600.

The previous prime is 5346260399. The next prime is 5346260401. The reversal of 5346260400 is 40626435.

It is an interprime number because it is at equal distance from previous prime (5346260399) and next prime (5346260401).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (5346260401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6067960 + ... + 6068840.

It is an arithmetic number, because the mean of its divisors is an integer number (77131782).

Almost surely, 2^5346260400 is an apocalyptic number.

5346260400 is a gapful number since it is divisible by the number (50) 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 5346260400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9255813840).

5346260400 is an abundant number, since it is smaller than the sum of its proper divisors (13165367280).

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

5346260400 is a wasteful number, since it uses less digits than its factorization.

5346260400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1304 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 5346260400 is about 73118.1263436092. The cubic root of 5346260400 is about 1748.5713946254.

Adding to 5346260400 its reverse (40626435), we get a palindrome (5386886835).

The spelling of 5346260400 in words is "five billion, three hundred forty-six million, two hundred sixty thousand, four hundred".