354445920 has 144 divisors (see below), whose sum is σ = 1280784960. Its totient is φ = 88952832.

The previous prime is 354445901. The next prime is 354445957. The reversal of 354445920 is 29544453.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17241 + ... + 31719.

It is an arithmetic number, because the mean of its divisors is an integer number (8894340).

Almost surely, 2^354445920 is an apocalyptic number.

354445920 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 354445920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640392480).

354445920 is an abundant number, since it is smaller than the sum of its proper divisors (926339040).

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

354445920 is a wasteful number, since it uses less digits than its factorization.

354445920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14517 (or 14506 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 354445920 is about 18826.7341830706. The cubic root of 354445920 is about 707.7013007921.

The spelling of 354445920 in words is "three hundred fifty-four million, four hundred forty-five thousand, nine hundred twenty".