353400450 has 96 divisors (see below), whose sum is σ = 959646912. Its totient is φ = 85536000.

The previous prime is 353400433. The next prime is 353400461. The reversal of 353400450 is 54004353.

It is a happy number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 353400450.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 117465 + ... + 120435.

It is an arithmetic number, because the mean of its divisors is an integer number (9996322).

Almost surely, 2^353400450 is an apocalyptic number.

353400450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 353400450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479823456).

353400450 is an abundant number, since it is smaller than the sum of its proper divisors (606246462).

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

353400450 is a wasteful number, since it uses less digits than its factorization.

353400450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3060 (or 3055 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 353400450 is about 18798.9481088703. The cubic root of 353400450 is about 707.0048060854.

The spelling of 353400450 in words is "three hundred fifty-three million, four hundred thousand, four hundred fifty".