396524400 has 120 divisors (see below), whose sum is σ = 1291261104. Its totient is φ = 103987200.

The previous prime is 396524351. The next prime is 396524419. The reversal of 396524400 is 4425693.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70492 + ... + 75908.

Almost surely, 2^396524400 is an apocalyptic number.

396524400 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 396524400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645630552).

396524400 is an abundant number, since it is smaller than the sum of its proper divisors (894736704).

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

396524400 is a wasteful number, since it uses less digits than its factorization.

396524400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5499 (or 5488 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 396524400 is about 19912.9204287066. The cubic root of 396524400 is about 734.6660521901. Note that the first 3 decimals are identical.

The spelling of 396524400 in words is "three hundred ninety-six million, five hundred twenty-four thousand, four hundred".