60002400 has 144 divisors (see below), whose sum is σ = 203986944. Its totient is φ = 15290880.

The previous prime is 60002389. The next prime is 60002473. The reversal of 60002400 is 420006.

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, 54657 + ... + 55743.

It is an arithmetic number, because the mean of its divisors is an integer number (1416576).

Almost surely, 2^60002400 is an apocalyptic number.

60002400 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 60002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101993472).

60002400 is an abundant number, since it is smaller than the sum of its proper divisors (143984544).

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

60002400 is a wasteful number, since it uses less digits than its factorization.

60002400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133 (or 1120 counting only the distinct ones).

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

The square root of 60002400 is about 7746.1216101995. The cubic root of 60002400 is about 391.4919838708.

Adding to 60002400 its reverse (420006), we get a palindrome (60422406).

The spelling of 60002400 in words is "sixty million, two thousand, four hundred".