354711456 has 288 divisors, whose sum is σ = 1188794880. Its totient is φ = 99187200.

The previous prime is 354711433. The next prime is 354711493. The reversal of 354711456 is 654117453.

354711456 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

Its product of digits (50400) is a multiple of the sum of its prime factors (200).

It is a self number, because there is not a number n which added to its sum of digits gives 354711456.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4273591 + ... + 4273673.

It is an arithmetic number, because the mean of its divisors is an integer number (4127760).

Almost surely, 2^354711456 is an apocalyptic number.

354711456 is a gapful number since it is divisible by the number (36) 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 354711456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594397440).

354711456 is an abundant number, since it is smaller than the sum of its proper divisors (834083424).

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

354711456 is a wasteful number, since it uses less digits than its factorization.

354711456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 189 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 354711456 is about 18833.7849621365. The cubic root of 354711456 is about 707.8779833777.

The spelling of 354711456 in words is "three hundred fifty-four million, seven hundred eleven thousand, four hundred fifty-six".