354798720 has 192 divisors, whose sum is σ = 1265322240. Its totient is φ = 91514880.

The previous prime is 354798709. The next prime is 354798737. The reversal of 354798720 is 27897453.

354798720 is a `hidden beast` number, since 3 + 547 + 9 + 87 + 20 = 666.

354798720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177567 + ... + 179553.

It is an arithmetic number, because the mean of its divisors is an integer number (6590220).

Almost surely, 2^354798720 is an apocalyptic number.

354798720 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 354798720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632661120).

354798720 is an abundant number, since it is smaller than the sum of its proper divisors (910523520).

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

354798720 is a wasteful number, since it uses less digits than its factorization.

354798720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2043 (or 2028 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 354798720 is about 18836.1015074776. The cubic root of 354798720 is about 707.9360279267.

The spelling of 354798720 in words is "three hundred fifty-four million, seven hundred ninety-eight thousand, seven hundred twenty".