395405010 has 576 divisors, whose sum is σ = 1528329600. Its totient is φ = 71850240.

The previous prime is 395405009. The next prime is 395405027. The reversal of 395405010 is 10504593.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 20810781 + ... + 20810799.

It is an arithmetic number, because the mean of its divisors is an integer number (2653350).

Almost surely, 2^395405010 is an apocalyptic number.

395405010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 395405010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764164800).

395405010 is an abundant number, since it is smaller than the sum of its proper divisors (1132924590).

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

395405010 is a wasteful number, since it uses less digits than its factorization.

395405010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 395405010 is about 19884.7934361914. The cubic root of 395405010 is about 733.9740788783.

The spelling of 395405010 in words is "three hundred ninety-five million, four hundred five thousand, ten".