6502400 has 72 divisors (see below), whose sum is σ = 16248960. Its totient is φ = 2580480.

The previous prime is 6502373. The next prime is 6502423. The reversal of 6502400 is 42056.

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 51137 + ... + 51263.

It is an arithmetic number, because the mean of its divisors is an integer number (225680).

Almost surely, 2^6502400 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 6502400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8124480).

6502400 is an abundant number, since it is smaller than the sum of its proper divisors (9746560).

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

6502400 is a wasteful number, since it uses less digits than its factorization.

6502400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 6502400 is about 2549.9803920815. The cubic root of 6502400 is about 186.6485243139.

Adding to 6502400 its reverse (42056), we get a palindrome (6544456).

The spelling of 6502400 in words is "six million, five hundred two thousand, four hundred".