398442240 has 504 divisors, whose sum is σ = 1662164448. Its totient is φ = 89579520.

The previous prime is 398442211. The next prime is 398442251. The reversal of 398442240 is 42244893.

398442240 is a `hidden beast` number, since 398 + 44 + 224 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 398442195 and 398442204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6531810 + ... + 6531870.

Almost surely, 2^398442240 is an apocalyptic number.

398442240 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 398442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831082224).

398442240 is an abundant number, since it is smaller than the sum of its proper divisors (1263722208).

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

398442240 is an frugal number, since it uses more digits than its factorization.

398442240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 398442240 is about 19961.0180101116. The cubic root of 398442240 is about 735.8485825876.

The spelling of 398442240 in words is "three hundred ninety-eight million, four hundred forty-two thousand, two hundred forty".