60314400 has 108 divisors (see below), whose sum is σ = 212709042. Its totient is φ = 16081920.

The previous prime is 60314399. The next prime is 60314413. The reversal of 60314400 is 441306.

It can be written as a sum of positive squares in 3 ways, for example, as 33315984 + 26998416 = 5772^2 + 5196^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3012 + ... + 11388.

Almost surely, 2^60314400 is an apocalyptic number.

60314400 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 60314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106354521).

60314400 is an abundant number, since it is smaller than the sum of its proper divisors (152394642).

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

60314400 is a wasteful number, since it uses less digits than its factorization.

60314400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8403 (or 8387 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 60314400 is about 7766.2346088693. The cubic root of 60314400 is about 392.1693700978.

Adding to 60314400 its reverse (441306), we get a palindrome (60755706).

The spelling of 60314400 in words is "sixty million, three hundred fourteen thousand, four hundred".