997771456 has 112 divisors (see below), whose sum is σ = 2253081600. Its totient is φ = 434304000.

The previous prime is 997771433. The next prime is 997771483. The reversal of 997771456 is 654177799.

997771456 is a nontrivial binomial coefficient, being equal to C(44672, 2).

It is a junction number, because it is equal to n+sod(n) for n = 997771397 and 997771406.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2858770 + ... + 2859118.

It is an arithmetic number, because the mean of its divisors is an integer number (20116800).

Almost surely, 2^997771456 is an apocalyptic number.

997771456 is the 44671-st triangular number and also the 22336-th hexagonal number.

997771456 is the 14891-st centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 997771456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126540800).

997771456 is an abundant number, since it is smaller than the sum of its proper divisors (1255310144).

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

997771456 is a wasteful number, since it uses less digits than its factorization.

997771456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 524 counting only the distinct ones).

The product of its digits is 3333960, while the sum is 55.

The square root of 997771456 is about 31587.5205737962. The cubic root of 997771456 is about 999.2565994926.

The spelling of 997771456 in words is "nine hundred ninety-seven million, seven hundred seventy-one thousand, four hundred fifty-six".