398507850 has 252 divisors, whose sum is σ = 1239507906. Its totient is φ = 94711680.

The previous prime is 398507833. The next prime is 398507873. The reversal of 398507850 is 58705893.

398507850 is a `hidden beast` number, since 3 + 98 + 507 + 8 + 50 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 2537649 + 395970201 = 1593^2 + 19899^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 398507796 and 398507805.

It is an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 13741636 + ... + 13741664.

Almost surely, 2^398507850 is an apocalyptic number.

398507850 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 398507850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619753953).

398507850 is an abundant number, since it is smaller than the sum of its proper divisors (841000056).

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

398507850 is a wasteful number, since it uses less digits than its factorization.

398507850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 398507850 is about 19962.6613957158. The cubic root of 398507850 is about 735.8889701862. Note that the first 3 decimals are identical.

The spelling of 398507850 in words is "three hundred ninety-eight million, five hundred seven thousand, eight hundred fifty".