398327949824 has 240 divisors, whose sum is σ = 995294672064. Its totient is φ = 155464335360.

The previous prime is 398327949769. The next prime is 398327949829. The reversal of 398327949824 is 428949723893.

It is a happy number.

It is a super-2 number, since 2×398327949824² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (68).

It is not an unprimeable number, because it can be changed into a prime (398327949829) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58548407 + ... + 58555209.

Almost surely, 2^398327949824 is an apocalyptic number.

398327949824 is a gapful number since it is divisible by the number (34) 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 398327949824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497647336032).

398327949824 is an abundant number, since it is smaller than the sum of its proper divisors (596966722240).

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

398327949824 is an equidigital number, since it uses as much as digits as its factorization.

398327949824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6907 (or 6860 counting only the distinct ones).

The product of its digits is 188116992, while the sum is 68.

The spelling of 398327949824 in words is "three hundred ninety-eight billion, three hundred twenty-seven million, nine hundred forty-nine thousand, eight hundred twenty-four".