396477825120 has 576 divisors, whose sum is σ = 1485993600000. Its totient is φ = 95672586240.

The previous prime is 396477825109. The next prime is 396477825131. The reversal of 396477825120 is 21528774693.

It is a happy number.

396477825120 is a `hidden beast` number, since 3 + 9 + 6 + 47 + 7 + 82 + 512 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (396477825109) and next prime (396477825131).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 264494131 + ... + 264495629.

It is an arithmetic number, because the mean of its divisors is an integer number (2579850000).

It is a 1-persistent number, because it is pandigital, but 2⋅396477825120 = 792955650240 is not.

Almost surely, 2^396477825120 is an apocalyptic number.

396477825120 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 396477825120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742996800000).

396477825120 is an abundant number, since it is smaller than the sum of its proper divisors (1089515774880).

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

396477825120 is a wasteful number, since it uses less digits than its factorization.

396477825120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1803 (or 1792 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 396477825120 in words is "three hundred ninety-six billion, four hundred seventy-seven million, eight hundred twenty-five thousand, one hundred twenty".