854172400 has 60 divisors (see below), whose sum is σ = 2067941304. Its totient is φ = 339040000.

The previous prime is 854172383. The next prime is 854172401. The reversal of 854172400 is 4271458.

854172400 is digitally balanced in base 2 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×854172400² = 1459220977843520000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (854172401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44250 + ... + 60550.

Almost surely, 2^854172400 is an apocalyptic number.

854172400 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 854172400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1033970652).

854172400 is an abundant number, since it is smaller than the sum of its proper divisors (1213768904).

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

854172400 is a wasteful number, since it uses less digits than its factorization.

854172400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16450 (or 16439 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 31.

The square root of 854172400 is about 29226.2279468289. The cubic root of 854172400 is about 948.8156617131.

The spelling of 854172400 in words is "eight hundred fifty-four million, one hundred seventy-two thousand, four hundred".