934424400 has 480 divisors, whose sum is σ = 3788646400. Its totient is φ = 191600640.

The previous prime is 934424383. The next prime is 934424401. The reversal of 934424400 is 4424439.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (934424401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4695501 + ... + 4695699.

Almost surely, 2^934424400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 934424400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1894323200).

934424400 is an abundant number, since it is smaller than the sum of its proper divisors (2854222000).

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

934424400 is a wasteful number, since it uses less digits than its factorization.

934424400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 934424400 is about 30568.3561874040. The cubic root of 934424400 is about 977.6454651465.

Adding to 934424400 its reverse (4424439), we get a palindrome (938848839).

The spelling of 934424400 in words is "nine hundred thirty-four million, four hundred twenty-four thousand, four hundred".