1398085920 has 576 divisors, whose sum is σ = 6181733376. Its totient is φ = 289889280.

The previous prime is 1398085859. The next prime is 1398085943. The reversal of 1398085920 is 295808931.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2993527 + ... + 2993993.

It is an arithmetic number, because the mean of its divisors is an integer number (10732176).

Almost surely, 2^1398085920 is an apocalyptic number.

1398085920 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 1398085920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3090866688).

1398085920 is an abundant number, since it is smaller than the sum of its proper divisors (4783647456).

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

1398085920 is a wasteful number, since it uses less digits than its factorization.

1398085920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 1398085920 is about 37390.9871493118. The cubic root of 1398085920 is about 1118.1788857205.

The spelling of 1398085920 in words is "one billion, three hundred ninety-eight million, eighty-five thousand, nine hundred twenty".