350274240 has 224 divisors, whose sum is σ = 1255288320. Its totient is φ = 91929600.

The previous prime is 350274233. The next prime is 350274257. The reversal of 350274240 is 42472053.

350274240 is a `hidden beast` number, since 350 + 2 + 74 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 613155 + ... + 613725.

Almost surely, 2^350274240 is an apocalyptic number.

350274240 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 350274240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627644160).

350274240 is an abundant number, since it is smaller than the sum of its proper divisors (905014080).

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

350274240 is a wasteful number, since it uses less digits than its factorization.

350274240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 350274240 is about 18715.6148710108. The cubic root of 350274240 is about 704.9138871734.

The spelling of 350274240 in words is "three hundred fifty million, two hundred seventy-four thousand, two hundred forty".