83450400 has 288 divisors, whose sum is σ = 309355200. Its totient is φ = 19353600.

The previous prime is 83450363. The next prime is 83450407. The reversal of 83450400 is 405438.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83450407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 765546 + ... + 765654.

It is an arithmetic number, because the mean of its divisors is an integer number (1074150).

Almost surely, 2^83450400 is an apocalyptic number.

83450400 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 83450400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154677600).

83450400 is an abundant number, since it is smaller than the sum of its proper divisors (225904800).

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

83450400 is a wasteful number, since it uses less digits than its factorization.

83450400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 83450400 is about 9135.1190468433. The cubic root of 83450400 is about 436.9946709724.

Adding to 83450400 its reverse (405438), we get a palindrome (83855838).

The spelling of 83450400 in words is "eighty-three million, four hundred fifty thousand, four hundred".