396738496 has 224 divisors, whose sum is σ = 1053388800. Its totient is φ = 146764800.

The previous prime is 396738493. The next prime is 396738499. The reversal of 396738496 is 694837693.

It is an interprime number because it is at equal distance from previous prime (396738493) and next prime (396738499).

It is a tau number, because it is divible by the number of its divisors (224).

Its product of digits (5878656) is a multiple of the sum of its prime factors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396738491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7485606 + ... + 7485658.

Almost surely, 2^396738496 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 396738496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526694400).

396738496 is an abundant number, since it is smaller than the sum of its proper divisors (656650304).

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

396738496 is a wasteful number, since it uses less digits than its factorization.

396738496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 104 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 55.

The square root of 396738496 is about 19918.2955094054. The cubic root of 396738496 is about 734.7982515059.

The spelling of 396738496 in words is "three hundred ninety-six million, seven hundred thirty-eight thousand, four hundred ninety-six".