1242920448 has 480 divisors, whose sum is σ = 4657416192. Its totient is φ = 309657600.

The previous prime is 1242920447. The next prime is 1242920449. The reversal of 1242920448 is 8440292421.

1242920448 is a `hidden beast` number, since 124 + 2 + 92 + 0 + 448 = 666.

It is an interprime number because it is at equal distance from previous prime (1242920447) and next prime (1242920449).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1242920447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10999240 + ... + 10999352.

Almost surely, 2^1242920448 is an apocalyptic number.

1242920448 is a gapful number since it is divisible by the number (18) 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 1242920448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2328708096).

1242920448 is an abundant number, since it is smaller than the sum of its proper divisors (3414495744).

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

1242920448 is a wasteful number, since it uses less digits than its factorization.

1242920448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 1242920448 is about 35255.0769109925. The cubic root of 1242920448 is about 1075.1798359314.

The spelling of 1242920448 in words is "one billion, two hundred forty-two million, nine hundred twenty thousand, four hundred forty-eight".