1057476640 has 192 divisors, whose sum is σ = 2838084480. Its totient is φ = 369008640.

The previous prime is 1057476569. The next prime is 1057476643. The reversal of 1057476640 is 466747501.

It is a super-2 number, since 2×1057476640² = 2236513688291379200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1057476593 and 1057476602.

It is not an unprimeable number, because it can be changed into a prime (1057476643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6735442 + ... + 6735598.

It is an arithmetic number, because the mean of its divisors is an integer number (14781690).

Almost surely, 2^1057476640 is an apocalyptic number.

1057476640 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 1057476640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419042240).

1057476640 is an abundant number, since it is smaller than the sum of its proper divisors (1780607840).

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

1057476640 is a wasteful number, since it uses less digits than its factorization.

1057476640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The square root of 1057476640 is about 32518.8659088843. The cubic root of 1057476640 is about 1018.8031071716.

The spelling of 1057476640 in words is "one billion, fifty-seven million, four hundred seventy-six thousand, six hundred forty".