398957520 has 160 divisors (see below), whose sum is σ = 1351413504. Its totient is φ = 96768000.

The previous prime is 398957519. The next prime is 398957539. The reversal of 398957520 is 25759893.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 398957520.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 220620 + ... + 222420.

Almost surely, 2^398957520 is an apocalyptic number.

398957520 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 398957520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675706752).

398957520 is an abundant number, since it is smaller than the sum of its proper divisors (952455984).

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

398957520 is a wasteful number, since it uses less digits than its factorization.

398957520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1901 (or 1895 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 48.

The square root of 398957520 is about 19973.9209971402. The cubic root of 398957520 is about 736.1656546628.

The spelling of 398957520 in words is "three hundred ninety-eight million, nine hundred fifty-seven thousand, five hundred twenty".