396798480 has 240 divisors, whose sum is σ = 1481333760. Its totient is φ = 97583616.

The previous prime is 396798469. The next prime is 396798511. The reversal of 396798480 is 84897693.

396798480 is a `hidden beast` number, since 3 + 96 + 79 + 8 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 364497 + ... + 365583.

It is an arithmetic number, because the mean of its divisors is an integer number (6172224).

Almost surely, 2^396798480 is an apocalyptic number.

396798480 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 396798480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740666880).

396798480 is an abundant number, since it is smaller than the sum of its proper divisors (1084535280).

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

396798480 is a wasteful number, since it uses less digits than its factorization.

396798480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 396798480 is about 19919.8012038273. The cubic root of 396798480 is about 734.8352817056.

It can be divided in two parts, 3967984 and 80, that added together give a square (3968064 = 1992²).

The spelling of 396798480 in words is "three hundred ninety-six million, seven hundred ninety-eight thousand, four hundred eighty".