396394560 has 280 divisors, whose sum is σ = 1448309016. Its totient is φ = 102850560.

The previous prime is 396394553. The next prime is 396394561. The reversal of 396394560 is 65493693.

It is a happy number.

396394560 is a `hidden beast` number, since 3 + 9 + 639 + 4 + 5 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1498176 + 394896384 = 1224^2 + 19872^2 .

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 (396394561) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1062534 + ... + 1062906.

Almost surely, 2^396394560 is an apocalyptic number.

396394560 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 396394560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724154508).

396394560 is an abundant number, since it is smaller than the sum of its proper divisors (1051914456).

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

396394560 is a wasteful number, since it uses less digits than its factorization.

396394560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The square root of 396394560 is about 19909.6599669608. The cubic root of 396394560 is about 734.5858558191.

The spelling of 396394560 in words is "three hundred ninety-six million, three hundred ninety-four thousand, five hundred sixty".