354369792 has 144 divisors (see below), whose sum is σ = 1115533440. Its totient is φ = 97714176.

The previous prime is 354369781. The next prime is 354369823. The reversal of 354369792 is 297963453.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154768 + ... + 157040.

It is an arithmetic number, because the mean of its divisors is an integer number (7746760).

Almost surely, 2^354369792 is an apocalyptic number.

354369792 is a gapful number since it is divisible by the number (32) 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 354369792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557766720).

354369792 is an abundant number, since it is smaller than the sum of its proper divisors (761163648).

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

354369792 is a wasteful number, since it uses less digits than its factorization.

354369792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2328 (or 2314 counting only the distinct ones).

The product of its digits is 1224720, while the sum is 48.

The square root of 354369792 is about 18824.7122687174. The cubic root of 354369792 is about 707.6506303991.

The spelling of 354369792 in words is "three hundred fifty-four million, three hundred sixty-nine thousand, seven hundred ninety-two".