398393520 has 240 divisors, whose sum is σ = 1513117440. Its totient is φ = 86220288.

The previous prime is 398393519. The next prime is 398393537. The reversal of 398393520 is 25393893.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 222549 + ... + 224331.

It is an arithmetic number, because the mean of its divisors is an integer number (6304656).

Almost surely, 2^398393520 is an apocalyptic number.

398393520 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 398393520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756558720).

398393520 is an abundant number, since it is smaller than the sum of its proper divisors (1114723920).

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

398393520 is a wasteful number, since it uses less digits than its factorization.

398393520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1832 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 42.

The square root of 398393520 is about 19959.7975941641. The cubic root of 398393520 is about 735.8185891108.

The spelling of 398393520 in words is "three hundred ninety-eight million, three hundred ninety-three thousand, five hundred twenty".