354481920 has 360 divisors, whose sum is σ = 1371164256. Its totient is φ = 86925312.

The previous prime is 354481891. The next prime is 354481937. The reversal of 354481920 is 29184453.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-3 number, since 3×354481920³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 39 ways as a sum of consecutive naturals, for example, 1347709 + ... + 1347971.

Almost surely, 2^354481920 is an apocalyptic number.

354481920 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 354481920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685582128).

354481920 is an abundant number, since it is smaller than the sum of its proper divisors (1016682336).

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

354481920 is a wasteful number, since it uses less digits than its factorization.

354481920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 354481920 is about 18827.6902460180. The cubic root of 354481920 is about 707.7252596745.

The spelling of 354481920 in words is "three hundred fifty-four million, four hundred eighty-one thousand, nine hundred twenty".