1042306272 has 384 divisors, whose sum is σ = 3715891200. Its totient is φ = 277820928.

The previous prime is 1042306267. The next prime is 1042306333. The reversal of 1042306272 is 2726032401.

1042306272 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 30 + 627 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8207073 + ... + 8207199.

It is an arithmetic number, because the mean of its divisors is an integer number (9676800).

Almost surely, 2^1042306272 is an apocalyptic number.

1042306272 is a gapful number since it is divisible by the number (12) 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 1042306272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1857945600).

1042306272 is an abundant number, since it is smaller than the sum of its proper divisors (2673584928).

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

1042306272 is a wasteful number, since it uses less digits than its factorization.

1042306272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 1042306272 is about 32284.7684210372. The cubic root of 1042306272 is about 1013.9077679493.

Adding to 1042306272 its reverse (2726032401), we get a palindrome (3768338673).

The spelling of 1042306272 in words is "one billion, forty-two million, three hundred six thousand, two hundred seventy-two".