974246400 has 240 divisors, whose sum is σ = 3577226400. Its totient is φ = 259706880.

The previous prime is 974246363. The next prime is 974246401. The reversal of 974246400 is 4642479.

974246400 is a `hidden beast` number, since 9 + 7 + 4 + 2 + 4 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (974246401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 344191 + ... + 347009.

It is an arithmetic number, because the mean of its divisors is an integer number (14905110).

Almost surely, 2^974246400 is an apocalyptic number.

974246400 is a gapful number since it is divisible by the number (90) 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 974246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1788613200).

974246400 is an abundant number, since it is smaller than the sum of its proper divisors (2602980000).

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

974246400 is a wasteful number, since it uses less digits than its factorization.

974246400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2856 (or 2829 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 974246400 is about 31212.9204016542. The cubic root of 974246400 is about 991.3406996184.

Adding to 974246400 its reverse (4642479), we get a palindrome (978888879).

The spelling of 974246400 in words is "nine hundred seventy-four million, two hundred forty-six thousand, four hundred".