1398054672 has 180 divisors, whose sum is σ = 4572515376. Its totient is φ = 397595520.

The previous prime is 1398054667. The next prime is 1398054673. The reversal of 1398054672 is 2764508931.

1398054672 is a `hidden beast` number, since 1 + 39 + 8 + 0 + 546 + 72 = 666.

1398054672 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

1398054672 is strictly pandigital in base 10.

It is not an unprimeable number, because it can be changed into a prime (1398054673) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2448147 + ... + 2448717.

It is a 1-persistent number, because it is pandigital, but 2⋅1398054672 = 2796109344 is not.

Almost surely, 2^1398054672 is an apocalyptic number.

1398054672 is a gapful number since it is divisible by the number (12) 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 1398054672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2286257688).

1398054672 is an abundant number, since it is smaller than the sum of its proper divisors (3174460704).

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

1398054672 is a wasteful number, since it uses less digits than its factorization.

1398054672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1398054672 is about 37390.5692922694. The cubic root of 1398054672 is about 1118.1705550179.

The spelling of 1398054672 in words is "one billion, three hundred ninety-eight million, fifty-four thousand, six hundred seventy-two".