897752400 has 240 divisors, whose sum is σ = 2999058048. Its totient is φ = 229376000.

The previous prime is 897752389. The next prime is 897752407. The reversal of 897752400 is 4257798.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (897752407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3493072 + ... + 3493328.

Almost surely, 2^897752400 is an apocalyptic number.

897752400 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 897752400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499529024).

897752400 is an abundant number, since it is smaller than the sum of its proper divisors (2101305648).

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

897752400 is a wasteful number, since it uses less digits than its factorization.

897752400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 897752400 is about 29962.5165832244. The cubic root of 897752400 is about 964.6849983523.

The spelling of 897752400 in words is "eight hundred ninety-seven million, seven hundred fifty-two thousand, four hundred".