1978497360 has 640 divisors, whose sum is σ = 8399462400. Its totient is φ = 418037760.

The previous prime is 1978497307. The next prime is 1978497361. The reversal of 1978497360 is 637948791.

It is a happy number.

1978497360 is a `hidden beast` number, since 1 + 97 + 8 + 497 + 3 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1978497297 and 1978497306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1978497361) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20396832 + ... + 20396928.

It is an arithmetic number, because the mean of its divisors is an integer number (13124160).

Almost surely, 2^1978497360 is an apocalyptic number.

1978497360 is a gapful number since it is divisible by the number (10) 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 1978497360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4199731200).

1978497360 is an abundant number, since it is smaller than the sum of its proper divisors (6420965040).

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

1978497360 is a wasteful number, since it uses less digits than its factorization.

1978497360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The square root of 1978497360 is about 44480.3030565215. The cubic root of 1978497360 is about 1255.3894993738.

It can be divided in two parts, 197849 and 7360, that added together give a square (205209 = 453²).

The spelling of 1978497360 in words is "one billion, nine hundred seventy-eight million, four hundred ninety-seven thousand, three hundred sixty".