858242400 has 144 divisors (see below), whose sum is σ = 2802976848. Its totient is φ = 228096000.

The previous prime is 858242383. The next prime is 858242423. The reversal of 858242400 is 4242858.

It is a happy number.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1298070 + ... + 1298730.

It is an arithmetic number, because the mean of its divisors is an integer number (19465117).

Almost surely, 2^858242400 is an apocalyptic number.

858242400 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 858242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401488424).

858242400 is an abundant number, since it is smaller than the sum of its proper divisors (1944734448).

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

858242400 is a wasteful number, since it uses less digits than its factorization.

858242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225 (or 1212 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The square root of 858242400 is about 29295.7744393283. The cubic root of 858242400 is about 950.3202613667.

The spelling of 858242400 in words is "eight hundred fifty-eight million, two hundred forty-two thousand, four hundred".