398610432 has 156 divisors (see below), whose sum is σ = 1257351264. Its totient is φ = 120668160.

The previous prime is 398610413. The next prime is 398610461. The reversal of 398610432 is 234016893.

398610432 is a `hidden beast` number, since 3 + 9 + 8 + 610 + 4 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 405013 + ... + 405995.

It is an arithmetic number, because the mean of its divisors is an integer number (8059944).

Almost surely, 2^398610432 is an apocalyptic number.

398610432 is a gapful number since it is divisible by the number (32) 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 398610432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628675632).

398610432 is an abundant number, since it is smaller than the sum of its proper divisors (858740832).

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

398610432 is a wasteful number, since it uses less digits than its factorization.

398610432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 398610432 is about 19965.2305771809. The cubic root of 398610432 is about 735.9521077847.

The spelling of 398610432 in words is "three hundred ninety-eight million, six hundred ten thousand, four hundred thirty-two".