398137050 has 72 divisors (see below), whose sum is σ = 1081789020. Its totient is φ = 104966400.

The previous prime is 398137037. The next prime is 398137087. The reversal of 398137050 is 50731893.

It can be written as a sum of positive squares in 6 ways, for example, as 3359889 + 394777161 = 1833^2 + 19869^2 .

It is a super-2 number, since 2×398137050² = 317026221165405000, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 398136996 and 398137014.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 35080 + ... + 45020.

Almost surely, 2^398137050 is an apocalyptic number.

398137050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 398137050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540894510).

398137050 is an abundant number, since it is smaller than the sum of its proper divisors (683651970).

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

398137050 is a wasteful number, since it uses less digits than its factorization.

398137050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10048 (or 10040 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 398137050 is about 19953.3718954968. The cubic root of 398137050 is about 735.6606582423.

The spelling of 398137050 in words is "three hundred ninety-eight million, one hundred thirty-seven thousand, fifty".