894920400 has 540 divisors, whose sum is σ = 3631565184. Its totient is φ = 209952000.

The previous prime is 894920393. The next prime is 894920401. The reversal of 894920400 is 4029498.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (540).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (894920401) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 28868385 + ... + 28868415.

Almost surely, 2^894920400 is an apocalyptic number.

894920400 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 894920400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1815782592).

894920400 is an abundant number, since it is smaller than the sum of its proper divisors (2736644784).

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

894920400 is a wasteful number, since it uses less digits than its factorization.

894920400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 894920400 is about 29915.2202064434. The cubic root of 894920400 is about 963.6695492202.

Adding to 894920400 its reverse (4029498), we get a palindrome (898949898).

The spelling of 894920400 in words is "eight hundred ninety-four million, nine hundred twenty thousand, four hundred".