398457360 has 480 divisors, whose sum is σ = 1678106880. Its totient is φ = 85100544.

The previous prime is 398457347. The next prime is 398457377. The reversal of 398457360 is 63754893.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5458284 + ... + 5458356.

It is an arithmetic number, because the mean of its divisors is an integer number (3496056).

Almost surely, 2^398457360 is an apocalyptic number.

398457360 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 398457360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839053440).

398457360 is an abundant number, since it is smaller than the sum of its proper divisors (1279649520).

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

398457360 is a wasteful number, since it uses less digits than its factorization.

398457360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 398457360 is about 19961.3967447170. The cubic root of 398457360 is about 735.8578904109.

The spelling of 398457360 in words is "three hundred ninety-eight million, four hundred fifty-seven thousand, three hundred sixty".