395074680 has 576 divisors, whose sum is σ = 1682311680. Its totient is φ = 72483840.

The previous prime is 395074663. The next prime is 395074697. The reversal of 395074680 is 86470593.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (395074663) and next prime (395074697).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17177149 + ... + 17177171.

It is an arithmetic number, because the mean of its divisors is an integer number (2920680).

Almost surely, 2^395074680 is an apocalyptic number.

395074680 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 395074680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841155840).

395074680 is an abundant number, since it is smaller than the sum of its proper divisors (1287237000).

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

395074680 is a wasteful number, since it uses less digits than its factorization.

395074680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 395074680 is about 19876.4856048548. The cubic root of 395074680 is about 733.7696292636.

The spelling of 395074680 in words is "three hundred ninety-five million, seventy-four thousand, six hundred eighty".