398278350 has 192 divisors, whose sum is σ = 1165639680. Its totient is φ = 99792000.

The previous prime is 398278339. The next prime is 398278367. The reversal of 398278350 is 53872893.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 398278296 and 398278305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3135987 + ... + 3136113.

It is an arithmetic number, because the mean of its divisors is an integer number (6071040).

Almost surely, 2^398278350 is an apocalyptic number.

398278350 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 398278350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582819840).

398278350 is an abundant number, since it is smaller than the sum of its proper divisors (767361330).

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

398278350 is a wasteful number, since it uses less digits than its factorization.

398278350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 398278350 is about 19956.9123363310. The cubic root of 398278350 is about 735.7476773196.

The spelling of 398278350 in words is "three hundred ninety-eight million, two hundred seventy-eight thousand, three hundred fifty".