1054039392 has 360 divisors, whose sum is σ = 3708985896. Its totient is φ = 292626432.

The previous prime is 1054039391. The next prime is 1054039397. The reversal of 1054039392 is 2939304501.

It is a happy number.

It is a super-2 number, since 2×1054039392² = 2221998079775459328, which contains 22 as substring.

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 (1054039391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5461248 + ... + 5461440.

Almost surely, 2^1054039392 is an apocalyptic number.

1054039392 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 1054039392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1854492948).

1054039392 is an abundant number, since it is smaller than the sum of its proper divisors (2654946504).

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

1054039392 is a wasteful number, since it uses less digits than its factorization.

1054039392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 1054039392 is about 32465.9728331064. The cubic root of 1054039392 is about 1017.6980614827.

The spelling of 1054039392 in words is "one billion, fifty-four million, thirty-nine thousand, three hundred ninety-two".