1057449120 has 384 divisors, whose sum is σ = 4202440704. Its totient is φ = 217534464.

The previous prime is 1057449119. The next prime is 1057449131. The reversal of 1057449120 is 219447501.

It is a happy number.

It is a super-2 number, since 2×1057449120² = 2236397282777548800, which contains 22 as substring.

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, 1877959 + ... + 1878521.

It is an arithmetic number, because the mean of its divisors is an integer number (10943856).

Almost surely, 2^1057449120 is an apocalyptic number.

1057449120 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 1057449120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2101220352).

1057449120 is an abundant number, since it is smaller than the sum of its proper divisors (3144991584).

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

1057449120 is a wasteful number, since it uses less digits than its factorization.

1057449120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 1057449120 is about 32518.4427671437. The cubic root of 1057449120 is about 1018.7942692444.

The spelling of 1057449120 in words is "one billion, fifty-seven million, four hundred forty-nine thousand, one hundred twenty".