399146190900 has 144 divisors (see below), whose sum is σ = 1224423256896. Its totient is φ = 100044564480.

The previous prime is 399146190869. The next prime is 399146190907. The reversal of 399146190900 is 9091641993.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (399146190907) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3809007 + ... + 3912393.

It is an arithmetic number, because the mean of its divisors is an integer number (8502939284).

Almost surely, 2^399146190900 is an apocalyptic number.

399146190900 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 399146190900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612211628448).

399146190900 is an abundant number, since it is smaller than the sum of its proper divisors (825277065996).

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

399146190900 is a wasteful number, since it uses less digits than its factorization.

399146190900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104178 (or 104171 counting only the distinct ones).

The product of its (nonzero) digits is 472392, while the sum is 51.

The spelling of 399146190900 in words is "three hundred ninety-nine billion, one hundred forty-six million, one hundred ninety thousand, nine hundred".