1398451680 has 288 divisors, whose sum is σ = 5094835200. Its totient is φ = 348281856.

The previous prime is 1398451679. The next prime is 1398451687. The reversal of 1398451680 is 861548931.

1398451680 is a `hidden beast` number, since 139 + 8 + 451 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1398451687) 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, 2161117 + ... + 2161763.

It is an arithmetic number, because the mean of its divisors is an integer number (17690400).

Almost surely, 2^1398451680 is an apocalyptic number.

1398451680 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 1398451680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2547417600).

1398451680 is an abundant number, since it is smaller than the sum of its proper divisors (3696383520).

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

1398451680 is a wasteful number, since it uses less digits than its factorization.

1398451680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 1398451680 is about 37395.8778476987. The cubic root of 1398451680 is about 1118.2763879419.

The spelling of 1398451680 in words is "one billion, three hundred ninety-eight million, four hundred fifty-one thousand, six hundred eighty".