893890400 has 288 divisors, whose sum is σ = 2543462208. Its totient is φ = 304128000.

The previous prime is 893890399. The next prime is 893890463. The reversal of 893890400 is 4098398.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8850350 + ... + 8850450.

It is an arithmetic number, because the mean of its divisors is an integer number (8831466).

Almost surely, 2^893890400 is an apocalyptic number.

893890400 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 893890400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1271731104).

893890400 is an abundant number, since it is smaller than the sum of its proper divisors (1649571808).

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

893890400 is a wasteful number, since it uses less digits than its factorization.

893890400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 41.

The square root of 893890400 is about 29897.9999331059. Note that the first 4 decimals coincide. The cubic root of 893890400 is about 963.2996985685.

The spelling of 893890400 in words is "eight hundred ninety-three million, eight hundred ninety thousand, four hundred".