397986048 has 180 divisors, whose sum is σ = 1257642540. Its totient is φ = 124747776.

The previous prime is 397986047. The next prime is 397986049. The reversal of 397986048 is 840689793.

It is an interprime number because it is at equal distance from previous prime (397986047) and next prime (397986049).

It can be written as a sum of positive squares in 2 ways, for example, as 160579584 + 237406464 = 12672^2 + 15408^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 397985985 and 397986003.

It is not an unprimeable number, because it can be changed into a prime (397986041) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 351948 + ... + 353076.

It is an arithmetic number, because the mean of its divisors is an integer number (6986903).

Almost surely, 2^397986048 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 397986048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628821270).

397986048 is an abundant number, since it is smaller than the sum of its proper divisors (859656492).

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

397986048 is a wasteful number, since it uses less digits than its factorization.

397986048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 397986048 is about 19949.5876649118. The cubic root of 397986048 is about 735.5676414636.

The spelling of 397986048 in words is "three hundred ninety-seven million, nine hundred eighty-six thousand, forty-eight".