1398950784 has 384 divisors, whose sum is σ = 5246553600. Its totient is φ = 362880000.

The previous prime is 1398950783. The next prime is 1398950789. The reversal of 1398950784 is 4870598931.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1398950784.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1398950783) 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, 1862409 + ... + 1863159.

It is an arithmetic number, because the mean of its divisors is an integer number (13662900).

Almost surely, 2^1398950784 is an apocalyptic number.

1398950784 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 1398950784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2623276800).

1398950784 is an abundant number, since it is smaller than the sum of its proper divisors (3847602816).

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

1398950784 is a wasteful number, since it uses less digits than its factorization.

1398950784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The square root of 1398950784 is about 37402.5505012693. The cubic root of 1398950784 is about 1118.4094088250.

The spelling of 1398950784 in words is "one billion, three hundred ninety-eight million, nine hundred fifty thousand, seven hundred eighty-four".