858724416 has 315 divisors, whose sum is σ = 2875642077. Its totient is φ = 253186560.

The previous prime is 858724411. The next prime is 858724439. The reversal of 858724416 is 614427858.

The square root of 858724416 is 29304.

It is a perfect power (a square), and thus also a powerful number.

858724416 is a `hidden beast` number, since 8 + 587 + 24 + 41 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 768398400 + 90326016 = 27720^2 + 9504^2 .

Its product of digits (430080) is a multiple of the sum of its prime factors (120).

It is not an unprimeable number, because it can be changed into a prime (858724411) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 23208750 + ... + 23208786.

Almost surely, 2^858724416 is an apocalyptic number.

858724416 is the 29304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 858724416

858724416 is an abundant number, since it is smaller than the sum of its proper divisors (2016917661).

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

858724416 is a wasteful number, since it uses less digits than its factorization.

858724416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 53 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The cubic root of 858724416 is about 950.4981380141.

The spelling of 858724416 in words is "eight hundred fifty-eight million, seven hundred twenty-four thousand, four hundred sixteen".