858976272 has 640 divisors, whose sum is σ = 3428352000. Its totient is φ = 203212800.

The previous prime is 858976271. The next prime is 858976273. The reversal of 858976272 is 272679858.

It is a happy number.

858976272 is a `hidden beast` number, since 8 + 5 + 8 + 9 + 7 + 627 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (858976271) and next prime (858976273).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (858976271) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27708897 + ... + 27708927.

It is an arithmetic number, because the mean of its divisors is an integer number (5356800).

Almost surely, 2^858976272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 858976272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1714176000).

858976272 is an abundant number, since it is smaller than the sum of its proper divisors (2569375728).

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

858976272 is a wasteful number, since it uses less digits than its factorization.

858976272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 71 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The square root of 858976272 is about 29308.2969822540. The cubic root of 858976272 is about 950.5910530615.

The spelling of 858976272 in words is "eight hundred fifty-eight million, nine hundred seventy-six thousand, two hundred seventy-two".