354514464 has 288 divisors, whose sum is σ = 1165207680. Its totient is φ = 101523456.

The previous prime is 354514441. The next prime is 354514469. The reversal of 354514464 is 464415453.

It is a tau number, because it is divible by the number of its divisors (288).

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

Its product of digits (115200) is a multiple of the sum of its prime factors (192).

It is not an unprimeable number, because it can be changed into a prime (354514469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3441837 + ... + 3441939.

It is an arithmetic number, because the mean of its divisors is an integer number (4045860).

Almost surely, 2^354514464 is an apocalyptic number.

354514464 is a gapful number since it is divisible by the number (34) 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 354514464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582603840).

354514464 is an abundant number, since it is smaller than the sum of its proper divisors (810693216).

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

354514464 is a wasteful number, since it uses less digits than its factorization.

354514464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 181 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 354514464 is about 18828.5544851430. The cubic root of 354514464 is about 707.7469171082.

The spelling of 354514464 in words is "three hundred fifty-four million, five hundred fourteen thousand, four hundred sixty-four".