897319440 has 240 divisors, whose sum is σ = 3125893680. Its totient is φ = 230522880.

The previous prime is 897319439. The next prime is 897319469. The reversal of 897319440 is 44913798.

It can be written as a sum of positive squares in 8 ways, for example, as 586995984 + 310323456 = 24228^2 + 17616^2 .

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 (45).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3335626 + ... + 3335894.

It is an arithmetic number, because the mean of its divisors is an integer number (13024557).

Almost surely, 2^897319440 is an apocalyptic number.

897319440 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 897319440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562946840).

897319440 is an abundant number, since it is smaller than the sum of its proper divisors (2228574240).

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

897319440 is a wasteful number, since it uses less digits than its factorization.

897319440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 897319440 is about 29955.2906846186. The cubic root of 897319440 is about 964.5298935304.

The spelling of 897319440 in words is "eight hundred ninety-seven million, three hundred nineteen thousand, four hundred forty".