398070504 has 256 divisors, whose sum is σ = 1306368000. Its totient is φ = 111144960.

The previous prime is 398070461. The next prime is 398070523. The reversal of 398070504 is 405070893.

398070504 is a `hidden beast` number, since 3 + 9 + 80 + 70 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1479682 + ... + 1479950.

It is an arithmetic number, because the mean of its divisors is an integer number (5103000).

Almost surely, 2^398070504 is an apocalyptic number.

398070504 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 398070504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653184000).

398070504 is an abundant number, since it is smaller than the sum of its proper divisors (908297496).

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

398070504 is a wasteful number, since it uses less digits than its factorization.

398070504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 398070504 is about 19951.7042881053. The cubic root of 398070504 is about 735.6196690051.

The spelling of 398070504 in words is "three hundred ninety-eight million, seventy thousand, five hundred four".