398813760 has 224 divisors, whose sum is σ = 1453286400. Its totient is φ = 102850560.

The previous prime is 398813749. The next prime is 398813773. The reversal of 398813760 is 67318893.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 267096 + ... + 268584.

Almost surely, 2^398813760 is an apocalyptic number.

398813760 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 398813760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726643200).

398813760 is an abundant number, since it is smaller than the sum of its proper divisors (1054472640).

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

398813760 is a wasteful number, since it uses less digits than its factorization.

398813760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1546 (or 1530 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 398813760 is about 19970.3219803788. The cubic root of 398813760 is about 736.0772209462.

The spelling of 398813760 in words is "three hundred ninety-eight million, eight hundred thirteen thousand, seven hundred sixty".