355440456 has 96 divisors (see below), whose sum is σ = 1102795200. Its totient is φ = 101312640.

The previous prime is 355440409. The next prime is 355440487. The reversal of 355440456 is 654044553.

It is a super-2 number, since 2×355440456² = 252675835522975872, which contains 22 as substring.

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 355440456.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 413355 + ... + 414213.

It is an arithmetic number, because the mean of its divisors is an integer number (11487450).

Almost surely, 2^355440456 is an apocalyptic number.

355440456 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 355440456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551397600).

355440456 is an abundant number, since it is smaller than the sum of its proper divisors (747354744).

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

355440456 is a wasteful number, since it uses less digits than its factorization.

355440456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1699 (or 1692 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The square root of 355440456 is about 18853.1285467426. The cubic root of 355440456 is about 708.3625931658.

The spelling of 355440456 in words is "three hundred fifty-five million, four hundred forty thousand, four hundred fifty-six".