612105480 has 192 divisors, whose sum is σ = 2316936960. Its totient is φ = 137240064.

The previous prime is 612105469. The next prime is 612105499. The reversal of 612105480 is 84501216.

612105480 is a `hidden beast` number, since 612 + 1 + 0 + 5 + 48 + 0 = 666.

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, 131269 + ... + 135851.

It is an arithmetic number, because the mean of its divisors is an integer number (12067380).

Almost surely, 2^612105480 is an apocalyptic number.

612105480 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 612105480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158468480).

612105480 is an abundant number, since it is smaller than the sum of its proper divisors (1704831480).

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

612105480 is a wasteful number, since it uses less digits than its factorization.

612105480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4660 (or 4653 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 612105480 is about 24740.7655499986. The cubic root of 612105480 is about 849.0672490193.

Adding to 612105480 its reverse (84501216), we get a palindrome (696606696).

The spelling of 612105480 in words is "six hundred twelve million, one hundred five thousand, four hundred eighty".