354400704 has 224 divisors, whose sum is σ = 1208471040. Its totient is φ = 99753984.

The previous prime is 354400703. The next prime is 354400723. The reversal of 354400704 is 407004453.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354400703) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1003792 + ... + 1004144.

It is an arithmetic number, because the mean of its divisors is an integer number (5394960).

Almost surely, 2^354400704 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 354400704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604235520).

354400704 is an abundant number, since it is smaller than the sum of its proper divisors (854070336).

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

354400704 is a wasteful number, since it uses less digits than its factorization.

354400704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 354400704 is about 18825.5332992189. The cubic root of 354400704 is about 707.6712061373.

The spelling of 354400704 in words is "three hundred fifty-four million, four hundred thousand, seven hundred four".