398576464 has 80 divisors (see below), whose sum is σ = 938689920. Its totient is φ = 161441280.

The previous prime is 398576461. The next prime is 398576467. The reversal of 398576464 is 464675893.

It is an interprime number because it is at equal distance from previous prime (398576461) and next prime (398576467).

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398576461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63349 + ... + 69355.

It is an arithmetic number, because the mean of its divisors is an integer number (11733624).

Almost surely, 2^398576464 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 398576464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469344960).

398576464 is an abundant number, since it is smaller than the sum of its proper divisors (540113456).

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

398576464 is a wasteful number, since it uses less digits than its factorization.

398576464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6068 (or 6062 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 52.

The square root of 398576464 is about 19964.3798801766. The cubic root of 398576464 is about 735.9312022177.

The spelling of 398576464 in words is "three hundred ninety-eight million, five hundred seventy-six thousand, four hundred sixty-four".