1398414864 has 240 divisors, whose sum is σ = 4630846464. Its totient is φ = 353203200.

The previous prime is 1398414847. The next prime is 1398414961. The reversal of 1398414864 is 4684148931.

It is a super-2 number, since 2×1398414864² = 3911128263712276992, which contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19156332 + ... + 19156404.

Almost surely, 2^1398414864 is an apocalyptic number.

1398414864 is a gapful number since it is divisible by the number (14) 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 1398414864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2315423232).

1398414864 is an abundant number, since it is smaller than the sum of its proper divisors (3232431600).

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

1398414864 is a wasteful number, since it uses less digits than its factorization.

1398414864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 167 counting only the distinct ones).

The product of its digits is 663552, while the sum is 48.

The square root of 1398414864 is about 37395.3855976911. The cubic root of 1398414864 is about 1118.2665745115.

The spelling of 1398414864 in words is "one billion, three hundred ninety-eight million, four hundred fourteen thousand, eight hundred sixty-four".