396512064 has 224 divisors, whose sum is σ = 1322832000. Its totient is φ = 115458048.

The previous prime is 396512059. The next prime is 396512089. The reversal of 396512064 is 460215693.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 426352 + ... + 427280.

It is an arithmetic number, because the mean of its divisors is an integer number (5905500).

Almost surely, 2^396512064 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 396512064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661416000).

396512064 is an abundant number, since it is smaller than the sum of its proper divisors (926319936).

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

396512064 is a wasteful number, since it uses less digits than its factorization.

396512064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 396512064 is about 19912.6106776585. The cubic root of 396512064 is about 734.6584335463.

The spelling of 396512064 in words is "three hundred ninety-six million, five hundred twelve thousand, sixty-four".