614400480 has 144 divisors (see below), whose sum is σ = 2113295184. Its totient is φ = 162539520.

The previous prime is 614400463. The next prime is 614400481. The reversal of 614400480 is 84004416.

614400480 is a `hidden beast` number, since 614 + 4 + 0 + 0 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (614400481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 187012 + ... + 190268.

It is an arithmetic number, because the mean of its divisors is an integer number (14675661).

Almost surely, 2^614400480 is an apocalyptic number.

614400480 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 614400480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056647592).

614400480 is an abundant number, since it is smaller than the sum of its proper divisors (1498894704).

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

614400480 is a wasteful number, since it uses less digits than its factorization.

614400480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3409 (or 3398 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 614400480 is about 24787.1030981839. The cubic root of 614400480 is about 850.1270767332.

Adding to 614400480 its reverse (84004416), we get a palindrome (698404896).

The spelling of 614400480 in words is "six hundred fourteen million, four hundred thousand, four hundred eighty".