398784540 has 432 divisors, whose sum is σ = 1528329600. Its totient is φ = 77172480.

The previous prime is 398784499. The next prime is 398784563. The reversal of 398784540 is 45487893.

It is a self number, because there is not a number n which added to its sum of digits gives 398784540.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6759031 + ... + 6759089.

It is an arithmetic number, because the mean of its divisors is an integer number (3537800).

Almost surely, 2^398784540 is an apocalyptic number.

398784540 is a gapful number since it is divisible by the number (30) 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 398784540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764164800).

398784540 is an abundant number, since it is smaller than the sum of its proper divisors (1129545060).

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

398784540 is a wasteful number, since it uses less digits than its factorization.

398784540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The square root of 398784540 is about 19969.5903813774. The cubic root of 398784540 is about 736.0592437149.

The spelling of 398784540 in words is "three hundred ninety-eight million, seven hundred eighty-four thousand, five hundred forty".