612042480 has 400 divisors, whose sum is σ = 2471698944. Its totient is φ = 137479680.

The previous prime is 612042427. The next prime is 612042481. The reversal of 612042480 is 84240216.

612042480 is a `hidden beast` number, since 612 + 0 + 4 + 2 + 48 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (612042481) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4672015 + ... + 4672145.

Almost surely, 2^612042480 is an apocalyptic number.

612042480 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 612042480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1235849472).

612042480 is an abundant number, since it is smaller than the sum of its proper divisors (1859656464).

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

612042480 is a wasteful number, since it uses less digits than its factorization.

612042480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 251 counting only the distinct ones).

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

The square root of 612042480 is about 24739.4923149203. The cubic root of 612042480 is about 849.0381183799.

Adding to 612042480 its reverse (84240216), we get a palindrome (696282696).

The spelling of 612042480 in words is "six hundred twelve million, forty-two thousand, four hundred eighty".