354412080 has 240 divisors, whose sum is σ = 1318370976. Its totient is φ = 84602880.

The previous prime is 354412061. The next prime is 354412081. The reversal of 354412080 is 80214453.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×354412080³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354412081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 577854 + ... + 578466.

Almost surely, 2^354412080 is an apocalyptic number.

354412080 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 354412080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659185488).

354412080 is an abundant number, since it is smaller than the sum of its proper divisors (963958896).

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

354412080 is a wasteful number, since it uses less digits than its factorization.

354412080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 354412080 is about 18825.8354396292. The cubic root of 354412080 is about 707.6787779634.

The spelling of 354412080 in words is "three hundred fifty-four million, four hundred twelve thousand, eighty".