396714477600 has 720 divisors, whose sum is σ = 1658334984768. Its totient is φ = 90408130560.

The previous prime is 396714477589. The next prime is 396714477737. The reversal of 396714477600 is 6774417693.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 180078099 + ... + 180080301.

Almost surely, 2^396714477600 is an apocalyptic number.

396714477600 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 396714477600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829167492384).

396714477600 is an abundant number, since it is smaller than the sum of its proper divisors (1261620507168).

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

396714477600 is a wasteful number, since it uses less digits than its factorization.

396714477600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2639 (or 2617 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The spelling of 396714477600 in words is "three hundred ninety-six billion, seven hundred fourteen million, four hundred seventy-seven thousand, six hundred".