352473818400 has 1728 divisors, whose sum is σ = 1520171452800. Its totient is φ = 75866112000.

The previous prime is 352473818387. The next prime is 352473818423. The reversal of 352473818400 is 4818374253.

352473818400 is a `hidden beast` number, since 3 + 524 + 7 + 3 + 81 + 8 + 40 + 0 = 666.

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

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 287 ways as a sum of consecutive naturals, for example, 1789207102 + ... + 1789207298.

It is an arithmetic number, because the mean of its divisors is an integer number (879728850).

Almost surely, 2^352473818400 is an apocalyptic number.

352473818400 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 352473818400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760085726400).

352473818400 is an abundant number, since it is smaller than the sum of its proper divisors (1167697634400).

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

352473818400 is a wasteful number, since it uses less digits than its factorization.

352473818400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 352473818400 in words is "three hundred fifty-two billion, four hundred seventy-three million, eight hundred eighteen thousand, four hundred".