1242417600 has 378 divisors, whose sum is σ = 4679990640. Its totient is φ = 312560640.

The previous prime is 1242417593. The next prime is 1242417637. The reversal of 1242417600 is 67142421.

1242417600 is a `hidden beast` number, since 1 + 2 + 42 + 4 + 17 + 600 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 5198281 + ... + 5198519.

Almost surely, 2^1242417600 is an apocalyptic number.

1242417600 is a gapful number since it is divisible by the number (10) 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 1242417600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2339995320).

1242417600 is an abundant number, since it is smaller than the sum of its proper divisors (3437573040).

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

1242417600 is a wasteful number, since it uses less digits than its factorization.

1242417600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1242417600 is about 35247.9446209279. The cubic root of 1242417600 is about 1075.0348212986.

It can be divided in two parts, 124241 and 7600, that added together give a triangular number (131841 = T₅₁₃).

The spelling of 1242417600 in words is "one billion, two hundred forty-two million, four hundred seventeen thousand, six hundred".