612406410 has 192 divisors, whose sum is σ = 1886592384. Its totient is φ = 126846720.

The previous prime is 612406393. The next prime is 612406439. The reversal of 612406410 is 14604216.

It is a super-2 number, since 2×612406410² = 750083222018176200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1956414 + ... + 1956726.

It is an arithmetic number, because the mean of its divisors is an integer number (9826002).

Almost surely, 2^612406410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 612406410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943296192).

612406410 is an abundant number, since it is smaller than the sum of its proper divisors (1274185974).

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

612406410 is a wasteful number, since it uses less digits than its factorization.

612406410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 612406410 is about 24746.8464657621. The cubic root of 612406410 is about 849.2063688033.

The spelling of 612406410 in words is "six hundred twelve million, four hundred six thousand, four hundred ten".