899942400 has 720 divisors, whose sum is σ = 3932248320. Its totient is φ = 199065600.

The previous prime is 899942389. The next prime is 899942401. The reversal of 899942400 is 4249998.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (899942401) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 29030385 + ... + 29030415.

It is an arithmetic number, because the mean of its divisors is an integer number (5461456).

Almost surely, 2^899942400 is an apocalyptic number.

899942400 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 899942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1966124160).

899942400 is an abundant number, since it is smaller than the sum of its proper divisors (3032305920).

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

899942400 is a wasteful number, since it uses less digits than its factorization.

899942400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 899942400 is about 29999.0399846395. The cubic root of 899942400 is about 965.4687870593.

The spelling of 899942400 in words is "eight hundred ninety-nine million, nine hundred forty-two thousand, four hundred".