1057451850 has 576 divisors, whose sum is σ = 3899750400. Its totient is φ = 203212800.

The previous prime is 1057451839. The next prime is 1057451851. The reversal of 1057451850 is 581547501.

1057451850 = 98² + 99² + ... + 1469².

1057451850 is a `hidden beast` number, since 1 + 0 + 574 + 5 + 1 + 85 + 0 = 666.

It is a super-2 number, since 2×1057451850² = 2236408830136845000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057451851) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 34111335 + ... + 34111365.

It is an arithmetic number, because the mean of its divisors is an integer number (6770400).

Almost surely, 2^1057451850 is an apocalyptic number.

1057451850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1057451850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1949875200).

1057451850 is an abundant number, since it is smaller than the sum of its proper divisors (2842298550).

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

1057451850 is a wasteful number, since it uses less digits than its factorization.

1057451850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 36.

The square root of 1057451850 is about 32518.4847432964. The cubic root of 1057451850 is about 1018.7951459788.

The spelling of 1057451850 in words is "one billion, fifty-seven million, four hundred fifty-one thousand, eight hundred fifty".