857552400 has 240 divisors, whose sum is σ = 3073969920. Its totient is φ = 227059200.

The previous prime is 857552393. The next prime is 857552407. The reversal of 857552400 is 4255758.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (857552393) and next prime (857552407).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×857552400³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 (857552407) 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 47 ways as a sum of consecutive naturals, for example, 2926654 + ... + 2926946.

It is an arithmetic number, because the mean of its divisors is an integer number (12808208).

Almost surely, 2^857552400 is an apocalyptic number.

857552400 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 857552400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536984960).

857552400 is an abundant number, since it is smaller than the sum of its proper divisors (2216417520).

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

857552400 is a wasteful number, since it uses less digits than its factorization.

857552400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 857552400 is about 29283.9956290121. The cubic root of 857552400 is about 950.0655171805.

The spelling of 857552400 in words is "eight hundred fifty-seven million, five hundred fifty-two thousand, four hundred".