398929458240 has 560 divisors, whose sum is σ = 1514225332224. Its totient is φ = 99344793600.

The previous prime is 398929458203. The next prime is 398929458251. The reversal of 398929458240 is 42854929893.

398929458240 is a `hidden beast` number, since 3 + 9 + 8 + 9 + 2 + 9 + 4 + 582 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 57720385 + ... + 57727295.

Almost surely, 2^398929458240 is an apocalyptic number.

398929458240 is a gapful number since it is divisible by the number (30) 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 398929458240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757112666112).

398929458240 is an abundant number, since it is smaller than the sum of its proper divisors (1115295873984).

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

398929458240 is a wasteful number, since it uses less digits than its factorization.

398929458240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7088 (or 7069 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 398929458240 in words is "three hundred ninety-eight billion, nine hundred twenty-nine million, four hundred fifty-eight thousand, two hundred forty".