354854390400 has 960 divisors, whose sum is σ = 1359094128480. Its totient is φ = 91102371840.

The previous prime is 354854390399. The next prime is 354854390413. The reversal of 354854390400 is 4093458453.

354854390400 is a `hidden beast` number, since 3 + 5 + 485 + 43 + 90 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×354854390400² (a number of 24 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1563235087 + ... + 1563235313.

Almost surely, 2^354854390400 is an apocalyptic number.

354854390400 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 354854390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679547064240).

354854390400 is an abundant number, since it is smaller than the sum of its proper divisors (1004239738080).

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

354854390400 is a wasteful number, since it uses less digits than its factorization.

354854390400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 354854390400 in words is "three hundred fifty-four billion, eight hundred fifty-four million, three hundred ninety thousand, four hundred".