398906512 has 40 divisors (see below), whose sum is σ = 802448640. Its totient is φ = 191898240.

The previous prime is 398906491. The next prime is 398906533. The reversal of 398906512 is 215609893.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (398906491) and next prime (398906533).

It is a super-2 number, since 2×398906512² = 318252810632012288, which contains 22 as substring.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86538 + ... + 91030.

It is an arithmetic number, because the mean of its divisors is an integer number (20061216).

Almost surely, 2^398906512 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 398906512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401224320).

398906512 is an abundant number, since it is smaller than the sum of its proper divisors (403542128).

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

398906512 is a wasteful number, since it uses less digits than its factorization.

398906512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4711 (or 4705 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 43.

The square root of 398906512 is about 19972.6440913566. The cubic root of 398906512 is about 736.1342796114.

The spelling of 398906512 in words is "three hundred ninety-eight million, nine hundred six thousand, five hundred twelve".