354413080 has 192 divisors, whose sum is σ = 1011225600. Its totient is φ = 111041280.

The previous prime is 354413063. The next prime is 354413083. The reversal of 354413080 is 80314453.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354413083) 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, 1154287 + ... + 1154593.

It is an arithmetic number, because the mean of its divisors is an integer number (5266800).

Almost surely, 2^354413080 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 354413080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505612800).

354413080 is an abundant number, since it is smaller than the sum of its proper divisors (656812520).

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

354413080 is a wasteful number, since it uses less digits than its factorization.

354413080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 354413080 is about 18825.8619988568. The cubic root of 354413080 is about 707.6794435522.

The spelling of 354413080 in words is "three hundred fifty-four million, four hundred thirteen thousand, eighty".