35481456 has 80 divisors (see below), whose sum is σ = 106302720. Its totient is φ = 11309760.

The previous prime is 35481451. The next prime is 35481517. The reversal of 35481456 is 65418453.

It is a happy number.

35481456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 35481456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35481451) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 8151 + ... + 11721.

It is an arithmetic number, because the mean of its divisors is an integer number (1328784).

Almost surely, 2^35481456 is an apocalyptic number.

35481456 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 35481456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53151360).

35481456 is an abundant number, since it is smaller than the sum of its proper divisors (70821264).

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

35481456 is a wasteful number, since it uses less digits than its factorization.

35481456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3611 (or 3599 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 35481456 is about 5956.6312627189. The cubic root of 35481456 is about 328.5996861826.

It can be divided in two parts, 35481 and 456, that added together give a cube (35937 = 33³).

The spelling of 35481456 in words is "thirty-five million, four hundred eighty-one thousand, four hundred fifty-six".