858400416 has 168 divisors, whose sum is σ = 2617743744. Its totient is φ = 276670080.

The previous prime is 858400399. The next prime is 858400427. The reversal of 858400416 is 614004858.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 722575 + ... + 723761.

It is an arithmetic number, because the mean of its divisors is an integer number (15581808).

Almost surely, 2^858400416 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 858400416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308871872).

858400416 is an abundant number, since it is smaller than the sum of its proper divisors (1759343328).

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

858400416 is a wasteful number, since it uses less digits than its factorization.

858400416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 858400416 is about 29298.4712229154. The cubic root of 858400416 is about 950.3785807845.

The spelling of 858400416 in words is "eight hundred fifty-eight million, four hundred thousand, four hundred sixteen".