1977332448 has 288 divisors, whose sum is σ = 6711538176. Its totient is φ = 498161664.

The previous prime is 1977332447. The next prime is 1977332473. The reversal of 1977332448 is 8442337791.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1977332397 and 1977332406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1977332447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2611686 + ... + 2612442.

It is an arithmetic number, because the mean of its divisors is an integer number (23303952).

Almost surely, 2^1977332448 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 1977332448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3355769088).

1977332448 is an abundant number, since it is smaller than the sum of its proper divisors (4734205728).

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

1977332448 is a wasteful number, since it uses less digits than its factorization.

1977332448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 805 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 48.

The square root of 1977332448 is about 44467.2064335056. The cubic root of 1977332448 is about 1255.1430656521.

The spelling of 1977332448 in words is "one billion, nine hundred seventy-seven million, three hundred thirty-two thousand, four hundred forty-eight".