6002400 has 144 divisors (see below), whose sum is σ = 20342448. Its totient is φ = 1536000.

The previous prime is 6002389. The next prime is 6002429. The reversal of 6002400 is 42006.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98370 + ... + 98430.

It is an arithmetic number, because the mean of its divisors is an integer number (141267).

Almost surely, 2^6002400 is an apocalyptic number.

6002400 is a gapful number since it is divisible by the number (60) 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 6002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10171224).

6002400 is an abundant number, since it is smaller than the sum of its proper divisors (14340048).

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

6002400 is a wasteful number, since it uses less digits than its factorization.

6002400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 6002400 is about 2449.9795917517. The cubic root of 6002400 is about 181.7362843281.

Adding to 6002400 its reverse (42006), we get a palindrome (6044406).

It can be divided in two parts, 600 and 2400, that multiplied together give a square (1440000 = 1200²).

The spelling of 6002400 in words is "six million, two thousand, four hundred".