353970400 has 144 divisors (see below), whose sum is σ = 1019934720. Its totient is φ = 117388800.

The previous prime is 353970371. The next prime is 353970427. The reversal of 353970400 is 4079353.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 172581 + ... + 174619.

It is an arithmetic number, because the mean of its divisors is an integer number (7082880).

Almost surely, 2^353970400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 353970400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509967360).

353970400 is an abundant number, since it is smaller than the sum of its proper divisors (665964320).

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

353970400 is a wasteful number, since it uses less digits than its factorization.

353970400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2097 (or 2084 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 31.

The square root of 353970400 is about 18814.1010946577. The cubic root of 353970400 is about 707.3846782283.

The spelling of 353970400 in words is "three hundred fifty-three million, nine hundred seventy thousand, four hundred".