396276480 has 216 divisors, whose sum is σ = 1406190240. Its totient is φ = 102973440.

The previous prime is 396276479. The next prime is 396276481. The reversal of 396276480 is 84672693.

It is an interprime number because it is at equal distance from previous prime (396276479) and next prime (396276481).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396276481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 471901 + ... + 472739.

It is an arithmetic number, because the mean of its divisors is an integer number (6510140).

Almost surely, 2^396276480 is an apocalyptic number.

396276480 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 396276480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703095120).

396276480 is an abundant number, since it is smaller than the sum of its proper divisors (1009913760).

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

396276480 is a wasteful number, since it uses less digits than its factorization.

396276480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 396276480 is about 19906.6943513985. The cubic root of 396276480 is about 734.5129078687.

The spelling of 396276480 in words is "three hundred ninety-six million, two hundred seventy-six thousand, four hundred eighty".