354090432 has 112 divisors (see below), whose sum is σ = 991355904. Its totient is φ = 111360000.

The previous prime is 354090427. The next prime is 354090437. The reversal of 354090432 is 234090453.

It is an interprime number because it is at equal distance from previous prime (354090427) and next prime (354090437).

It is a self number, because there is not a number n which added to its sum of digits gives 354090432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354090437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 243307 + ... + 244757.

It is an arithmetic number, because the mean of its divisors is an integer number (8851392).

Almost surely, 2^354090432 is an apocalyptic number.

354090432 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 354090432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495677952).

354090432 is an abundant number, since it is smaller than the sum of its proper divisors (637265472).

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

354090432 is a wasteful number, since it uses less digits than its factorization.

354090432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 354090432 is about 18817.2907720532. The cubic root of 354090432 is about 707.4646276646.

The spelling of 354090432 in words is "three hundred fifty-four million, ninety thousand, four hundred thirty-two".