356461456 has 40 divisors (see below), whose sum is σ = 746436600. Its totient is φ = 163931136.

The previous prime is 356461447. The next prime is 356461493. The reversal of 356461456 is 654164653.

356461456 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 51609856 + 304851600 = 7184^2 + 17460^2 .

It is a super-2 number, since 2×356461456² = 254129539227279872, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58020 + ... + 63868.

It is an arithmetic number, because the mean of its divisors is an integer number (18660915).

Almost surely, 2^356461456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 356461456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373218300).

356461456 is an abundant number, since it is smaller than the sum of its proper divisors (389975144).

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

356461456 is a wasteful number, since it uses less digits than its factorization.

356461456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6163 (or 6157 counting only the distinct ones).

The product of its digits is 259200, while the sum is 40.

The square root of 356461456 is about 18880.1868634820. The cubic root of 356461456 is about 709.0402001552.

The spelling of 356461456 in words is "three hundred fifty-six million, four hundred sixty-one thousand, four hundred fifty-six".