398672820 has 576 divisors, whose sum is σ = 1662393600. Its totient is φ = 78382080.

The previous prime is 398672809. The next prime is 398672849. The reversal of 398672820 is 28276893.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6535590 + ... + 6535650.

It is an arithmetic number, because the mean of its divisors is an integer number (2886100).

Almost surely, 2^398672820 is an apocalyptic number.

398672820 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 398672820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831196800).

398672820 is an abundant number, since it is smaller than the sum of its proper divisors (1263720780).

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

398672820 is a wasteful number, since it uses less digits than its factorization.

398672820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 398672820 is about 19966.7929322663. The cubic root of 398672820 is about 735.9905013149.

The spelling of 398672820 in words is "three hundred ninety-eight million, six hundred seventy-two thousand, eight hundred twenty".