355254240 has 192 divisors, whose sum is σ = 1241920512. Its totient is φ = 84633600.

The previous prime is 355254239. The next prime is 355254271. The reversal of 355254240 is 42452553.

355254240 is digitally balanced in base 3, 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 355254198 and 355254207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 321529 + ... + 322631.

It is an arithmetic number, because the mean of its divisors is an integer number (6468336).

Almost surely, 2^355254240 is an apocalyptic number.

355254240 is a gapful number since it is divisible by the number (30) 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 355254240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620960256).

355254240 is an abundant number, since it is smaller than the sum of its proper divisors (886666272).

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

355254240 is a wasteful number, since it uses less digits than its factorization.

355254240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1193 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

The square root of 355254240 is about 18848.1893029543. The cubic root of 355254240 is about 708.2388673407.

The spelling of 355254240 in words is "three hundred fifty-five million, two hundred fifty-four thousand, two hundred forty".