390727512 has 96 divisors (see below), whose sum is σ = 1212475680. Its totient is φ = 111352320.

The previous prime is 390727483. The next prime is 390727517. The reversal of 390727512 is 215727093.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390727517) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 271948 + ... + 273380.

It is an arithmetic number, because the mean of its divisors is an integer number (12629955).

Almost surely, 2^390727512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390727512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606237840).

390727512 is an abundant number, since it is smaller than the sum of its proper divisors (821748168).

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

390727512 is a wasteful number, since it uses less digits than its factorization.

390727512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1993 (or 1986 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 390727512 is about 19766.8285771896. The cubic root of 390727512 is about 731.0683749669.

The spelling of 390727512 in words is "three hundred ninety million, seven hundred twenty-seven thousand, five hundred twelve".