398921796 has 432 divisors, whose sum is σ = 1438819200. Its totient is φ = 90574848.

The previous prime is 398921791. The next prime is 398921837. The reversal of 398921796 is 697129893.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

Its product of digits (1469664) is a multiple of the sum of its prime factors (108).

It is not an unprimeable number, because it can be changed into a prime (398921791) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13755910 + ... + 13755938.

It is an arithmetic number, because the mean of its divisors is an integer number (3330600).

Almost surely, 2^398921796 is an apocalyptic number.

398921796 is a gapful number since it is divisible by the number (36) 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 398921796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719409600).

398921796 is an abundant number, since it is smaller than the sum of its proper divisors (1039897404).

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

398921796 is a wasteful number, since it uses less digits than its factorization.

398921796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 90 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 54.

The square root of 398921796 is about 19973.0267110421. The cubic root of 398921796 is about 736.1436810896.

The spelling of 398921796 in words is "three hundred ninety-eight million, nine hundred twenty-one thousand, seven hundred ninety-six".