398121504 has 192 divisors, whose sum is σ = 1228856832. Its totient is φ = 111513600.

The previous prime is 398121481. The next prime is 398121523. The reversal of 398121504 is 405121893.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1202619 + ... + 1202949.

It is an arithmetic number, because the mean of its divisors is an integer number (6400296).

Almost surely, 2^398121504 is an apocalyptic number.

398121504 is a gapful number since it is divisible by the number (34) 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 398121504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614428416).

398121504 is an abundant number, since it is smaller than the sum of its proper divisors (830735328).

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

398121504 is a wasteful number, since it uses less digits than its factorization.

398121504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 398121504 is about 19952.9823334759. The cubic root of 398121504 is about 735.6510830391.

The spelling of 398121504 in words is "three hundred ninety-eight million, one hundred twenty-one thousand, five hundred four".