398867040 has 432 divisors, whose sum is σ = 1618671600. Its totient is φ = 88657920.

The previous prime is 398867017. The next prime is 398867069. The reversal of 398867040 is 40768893.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2676886 + ... + 2677034.

It is an arithmetic number, because the mean of its divisors is an integer number (3746925).

Almost surely, 2^398867040 is an apocalyptic number.

398867040 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 398867040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809335800).

398867040 is an abundant number, since it is smaller than the sum of its proper divisors (1219804560).

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

398867040 is a wasteful number, since it uses less digits than its factorization.

398867040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 398867040 is about 19971.6559153216. The cubic root of 398867040 is about 736.1099985247.

The spelling of 398867040 in words is "three hundred ninety-eight million, eight hundred sixty-seven thousand, forty".