354177252 has 384 divisors, whose sum is σ = 1219276800. Its totient is φ = 87091200.

The previous prime is 354177251. The next prime is 354177259. The reversal of 354177252 is 252771453.

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

It is not an unprimeable number, because it can be changed into a prime (354177251) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4988377 + ... + 4988447.

It is an arithmetic number, because the mean of its divisors is an integer number (3175200).

Almost surely, 2^354177252 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 354177252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609638400).

354177252 is an abundant number, since it is smaller than the sum of its proper divisors (865099548).

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

354177252 is a wasteful number, since it uses less digits than its factorization.

354177252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 136 counting only the distinct ones).

The product of its digits is 58800, while the sum is 36.

The square root of 354177252 is about 18819.5975514887. The cubic root of 354177252 is about 707.5224444011.

The spelling of 354177252 in words is "three hundred fifty-four million, one hundred seventy-seven thousand, two hundred fifty-two".