1042558920 has 192 divisors, whose sum is σ = 3664926720. Its totient is φ = 255508992.

The previous prime is 1042558897. The next prime is 1042558931. The reversal of 1042558920 is 298552401.

1042558920 is a `hidden beast` number, since 10 + 4 + 2 + 558 + 92 + 0 = 666.

1042558920 is digitally balanced in base 2 and base 6, because in such bases it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1717257 + ... + 1717863.

It is an arithmetic number, because the mean of its divisors is an integer number (19088160).

Almost surely, 2^1042558920 is an apocalyptic number.

1042558920 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 1042558920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1832463360).

1042558920 is an abundant number, since it is smaller than the sum of its proper divisors (2622367800).

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

1042558920 is a wasteful number, since it uses less digits than its factorization.

1042558920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 1042558920 is about 32288.6809888543. The cubic root of 1042558920 is about 1013.9896827960.

The spelling of 1042558920 in words is "one billion, forty-two million, five hundred fifty-eight thousand, nine hundred twenty".