857629440 has 216 divisors, whose sum is σ = 2998915920. Its totient is φ = 226271232.

The previous prime is 857629427. The next prime is 857629469. The reversal of 857629440 is 44926758.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1255339 + ... + 1256021.

It is an arithmetic number, because the mean of its divisors is an integer number (13883870).

Almost surely, 2^857629440 is an apocalyptic number.

857629440 is a gapful number since it is divisible by the number (80) 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 857629440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499457960).

857629440 is an abundant number, since it is smaller than the sum of its proper divisors (2141286480).

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

857629440 is a wasteful number, since it uses less digits than its factorization.

857629440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 857629440 is about 29285.3109937388. The cubic root of 857629440 is about 950.0939666978.

The spelling of 857629440 in words is "eight hundred fifty-seven million, six hundred twenty-nine thousand, four hundred forty".