857472000 has 704 divisors, whose sum is σ = 3678704640. Its totient is φ = 172032000.

The previous prime is 857471983. The next prime is 857472017. The reversal of 857472000 is 274758.

It is an interprime number because it is at equal distance from previous prime (857471983) and next prime (857472017).

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29567986 + ... + 29568014.

Almost surely, 2^857472000 is an apocalyptic number.

857472000 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 857472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1839352320).

857472000 is an abundant number, since it is smaller than the sum of its proper divisors (2821232640).

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

857472000 is a wasteful number, since it uses less digits than its factorization.

857472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 33.

The square root of 857472000 is about 29282.6228333461. The cubic root of 857472000 is about 950.0358250571.

The spelling of 857472000 in words is "eight hundred fifty-seven million, four hundred seventy-two thousand".