1057738500 has 720 divisors, whose sum is σ = 4428536112. Its totient is φ = 217728000.

The previous prime is 1057738481. The next prime is 1057738501. The reversal of 1057738500 is 58377501.

1057738500 is a `hidden beast` number, since 1 + 0 + 577 + 3 + 85 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 825297984 + 232440516 = 28728^2 + 15246^2 .

It is a super-2 number, since 2×1057738500² = 2237621468764500000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1057738501) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 25798480 + ... + 25798520.

Almost surely, 2^1057738500 is an apocalyptic number.

1057738500 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 1057738500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2214268056).

1057738500 is an abundant number, since it is smaller than the sum of its proper divisors (3370797612).

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

1057738500 is a wasteful number, since it uses less digits than its factorization.

1057738500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The square root of 1057738500 is about 32522.8919378336. The cubic root of 1057738500 is about 1018.8871946914.

The spelling of 1057738500 in words is "one billion, fifty-seven million, seven hundred thirty-eight thousand, five hundred".