1314198480 has 160 divisors (see below), whose sum is σ = 4671129600. Its totient is φ = 299414016.

The previous prime is 1314198463. The next prime is 1314198491. The reversal of 1314198480 is 848914131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 602031 + ... + 604209.

It is an arithmetic number, because the mean of its divisors is an integer number (29194560).

Almost surely, 2^1314198480 is an apocalyptic number.

1314198480 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 1314198480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2335564800).

1314198480 is an abundant number, since it is smaller than the sum of its proper divisors (3356931120).

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

1314198480 is a wasteful number, since it uses less digits than its factorization.

1314198480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2561 (or 2555 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 1314198480 is about 36251.8755376877. The cubic root of 1314198480 is about 1095.3518687365.

The spelling of 1314198480 in words is "one billion, three hundred fourteen million, one hundred ninety-eight thousand, four hundred eighty".