398691072 has 432 divisors, whose sum is σ = 1406190240. Its totient is φ = 111476736.

The previous prime is 398691067. The next prime is 398691077. The reversal of 398691072 is 270196893.

It is an interprime number because it is at equal distance from previous prime (398691067) and next prime (398691077).

It is a tau number, because it is divible by the number of its divisors (432).

It is not an unprimeable number, because it can be changed into a prime (398691077) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13747954 + ... + 13747982.

It is an arithmetic number, because the mean of its divisors is an integer number (3255070).

Almost surely, 2^398691072 is an apocalyptic number.

398691072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

398691072 is the 9984-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 398691072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703095120).

398691072 is an abundant number, since it is smaller than the sum of its proper divisors (1007499168).

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

398691072 is a wasteful number, since it uses less digits than its factorization.

398691072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 398691072 is about 19967.2499859144. The cubic root of 398691072 is about 736.0017328252.

The spelling of 398691072 in words is "three hundred ninety-eight million, six hundred ninety-one thousand, seventy-two".