354079349460 has 192 divisors, whose sum is σ = 1163814220800. Its totient is φ = 89225385984.

The previous prime is 354079349423. The next prime is 354079349471. The reversal of 354079349460 is 64943970453.

It is a happy number.

354079349460 is a `hidden beast` number, since 3 + 5 + 4 + 0 + 7 + 93 + 494 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 354079349397 and 354079349406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 495484 + ... + 976556.

It is an arithmetic number, because the mean of its divisors is an integer number (6061532400).

Almost surely, 2^354079349460 is an apocalyptic number.

354079349460 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 354079349460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581907110400).

354079349460 is an abundant number, since it is smaller than the sum of its proper divisors (809734871340).

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

354079349460 is a wasteful number, since it uses less digits than its factorization.

354079349460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481167 (or 481159 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 354079349460 in words is "three hundred fifty-four billion, seventy-nine million, three hundred forty-nine thousand, four hundred sixty".