352478822400 has 660 divisors, whose sum is σ = 1321557766452. Its totient is φ = 92861890560.

The previous prime is 352478822351. The next prime is 352478822419. The reversal of 352478822400 is 4228874253.

352478822400 is a `hidden beast` number, since 3 + 524 + 7 + 8 + 82 + 2 + 40 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4246732759 + ... + 4246732841.

Almost surely, 2^352478822400 is an apocalyptic number.

352478822400 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 352478822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660778883226).

352478822400 is an abundant number, since it is smaller than the sum of its proper divisors (969078944052).

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

352478822400 is an frugal number, since it uses more digits than its factorization.

352478822400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 352478822400 in words is "three hundred fifty-two billion, four hundred seventy-eight million, eight hundred twenty-two thousand, four hundred".