1057949424 has 200 divisors, whose sum is σ = 3520418528. Its totient is φ = 300464640.

The previous prime is 1057949419. The next prime is 1057949429. The reversal of 1057949424 is 4249497501.

1057949424 is a `hidden beast` number, since 10 + 579 + 49 + 4 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (1057949419) and next prime (1057949429).

It is a super-2 number, since 2×1057949424² = 2238513967483863552, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1057949424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057949429) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2512734 + ... + 2513154.

Almost surely, 2^1057949424 is an apocalyptic number.

1057949424 is a gapful number since it is divisible by the number (14) 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 1057949424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1760209264).

1057949424 is an abundant number, since it is smaller than the sum of its proper divisors (2462469104).

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

1057949424 is a wasteful number, since it uses less digits than its factorization.

1057949424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1057949424 is about 32526.1344767558. The cubic root of 1057949424 is about 1018.9549157395.

The spelling of 1057949424 in words is "one billion, fifty-seven million, nine hundred forty-nine thousand, four hundred twenty-four".