97424400 has 120 divisors (see below), whose sum is σ = 328585120. Its totient is φ = 24606720.

The previous prime is 97424387. The next prime is 97424407. The reversal of 97424400 is 442479.

It is a tau number, because it is divible by the number of its divisors (120).

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 (97424407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20664 + ... + 24936.

Almost surely, 2^97424400 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 97424400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164292560).

97424400 is an abundant number, since it is smaller than the sum of its proper divisors (231160720).

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

97424400 is a wasteful number, since it uses less digits than its factorization.

97424400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4313 (or 4302 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 97424400 is about 9870.3799318973. The cubic root of 97424400 is about 460.1392143227.

Adding to 97424400 its reverse (442479), we get a palindrome (97866879).

The spelling of 97424400 in words is "ninety-seven million, four hundred twenty-four thousand, four hundred".