355057040 has 80 divisors (see below), whose sum is σ = 894036528. Its totient is φ = 130357248.

The previous prime is 355057033. The next prime is 355057067. The reversal of 355057040 is 40750553.

It can be written as a sum of positive squares in 8 ways, for example, as 262144 + 354794896 = 512^2 + 18836^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 355056994 and 355057012.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204014 + ... + 205746.

Almost surely, 2^355057040 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 355057040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447018264).

355057040 is an abundant number, since it is smaller than the sum of its proper divisors (538979488).

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

355057040 is a wasteful number, since it uses less digits than its factorization.

355057040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1956 (or 1950 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 29.

The square root of 355057040 is about 18842.9573050517. The cubic root of 355057040 is about 708.1077963693.

The spelling of 355057040 in words is "three hundred fifty-five million, fifty-seven thousand, forty".