60416400 has 240 divisors, whose sum is σ = 221414400. Its totient is φ = 13939200.

The previous prime is 60416399. The next prime is 60416429. The reversal of 60416400 is 461406.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 303501 + ... + 303699.

It is an arithmetic number, because the mean of its divisors is an integer number (922560).

Almost surely, 2^60416400 is an apocalyptic number.

60416400 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 60416400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110707200).

60416400 is an abundant number, since it is smaller than the sum of its proper divisors (160998000).

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

60416400 is a wasteful number, since it uses less digits than its factorization.

60416400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 60416400 is about 7772.7987237545. The cubic root of 60416400 is about 392.3903164925.

Adding to 60416400 its reverse (461406), we get a palindrome (60877806).

The spelling of 60416400 in words is "sixty million, four hundred sixteen thousand, four hundred".