398440944 has 200 divisors, whose sum is σ = 1325153280. Its totient is φ = 114307200.

The previous prime is 398440907. The next prime is 398440957. The reversal of 398440944 is 449044893.

It is a super-2 number, since 2×398440944² = 317510371711222272, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 398440944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 270129 + ... + 271599.

Almost surely, 2^398440944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 398440944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662576640).

398440944 is an abundant number, since it is smaller than the sum of its proper divisors (926712336).

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

398440944 is a wasteful number, since it uses less digits than its factorization.

398440944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1521 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 398440944 is about 19960.9855468111. The cubic root of 398440944 is about 735.8477847632.

The spelling of 398440944 in words is "three hundred ninety-eight million, four hundred forty thousand, nine hundred forty-four".