398711040 has 432 divisors, whose sum is σ = 1605014208. Its totient is φ = 83607552.

The previous prime is 398711023. The next prime is 398711041. The reversal of 398711040 is 40117893.

It is a junction number, because it is equal to n+sod(n) for n = 398710992 and 398711010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398711041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2445999 + ... + 2446161.

Almost surely, 2^398711040 is an apocalyptic number.

398711040 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 398711040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802507104).

398711040 is an abundant number, since it is smaller than the sum of its proper divisors (1206303168).

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

398711040 is a wasteful number, since it uses less digits than its factorization.

398711040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 398711040 is about 19967.7499984350. The cubic root of 398711040 is about 736.0140198968.

The spelling of 398711040 in words is "three hundred ninety-eight million, seven hundred eleven thousand, forty".