396177120 has 288 divisors, whose sum is σ = 1432922400. Its totient is φ = 99520512.

The previous prime is 396177107. The next prime is 396177157. The reversal of 396177120 is 21771693.

It is a happy number.

396177120 is a `hidden beast` number, since 39 + 617 + 7 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×396177120² = 313912620822988800, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 2213191 + ... + 2213369.

It is an arithmetic number, because the mean of its divisors is an integer number (4975425).

Almost surely, 2^396177120 is an apocalyptic number.

396177120 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 396177120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716461200).

396177120 is an abundant number, since it is smaller than the sum of its proper divisors (1036745280).

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

396177120 is a wasteful number, since it uses less digits than its factorization.

396177120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 396177120 is about 19904.1985520643. The cubic root of 396177120 is about 734.4515136093.

The spelling of 396177120 in words is "three hundred ninety-six million, one hundred seventy-seven thousand, one hundred twenty".