396506880 has 576 divisors, whose sum is σ = 1766016000. Its totient is φ = 81838080.

The previous prime is 396506863. The next prime is 396506917. The reversal of 396506880 is 88605693.

396506880 is a nontrivial binomial coefficient, being equal to C(28161, 2).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2661046 + ... + 2661194.

It is an arithmetic number, because the mean of its divisors is an integer number (3066000).

Almost surely, 2^396506880 is an apocalyptic number.

396506880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

396506880 is the 28160-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 396506880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883008000).

396506880 is an abundant number, since it is smaller than the sum of its proper divisors (1369509120).

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

396506880 is a wasteful number, since it uses less digits than its factorization.

396506880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 396506880 is about 19912.4805084650. The cubic root of 396506880 is about 734.6552318901.

It can be divided in two parts, 396506 and 880, that added together give a triangular number (397386 = T₈₉₁).

The spelling of 396506880 in words is "three hundred ninety-six million, five hundred six thousand, eight hundred eighty".